Chapter 3, Problem 1R

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Answer 1

Question

Chapter 3, Problem 1R

Expert Solution & Answer

Program Plan Intro

Pseudorandom Number generation:

In Java, there is a built-in class java.util.Random whose object as pseudorandom number to determine the sequence of numbers by randomly.

Note: Refer page number 113 to formula for next pseudorandom number in the text book.

According the formula given by the text book, the current seed “cur” value is needed to find the next pseudorandom number. But, here the only one current seed “cur” is given to find the five next pseudorandom numbers.

Apply the given inputs for five times; get the same next pseudorandom number. So, take current seed value as “next pseudorandom number” to find the next pseudorandom numbers.

Explanation of Solution

Determine the next five pseudorandom numbers:

The given inputs are,

a = 12

b = 5

n = 100

Current seed (cur) = 92

The formula for next pseudorandom number is given below:

next = (a × cur + b)% n (1)

First pseudorandom numbers:

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 92 + 5)% 100= (1104 + 5)% 100= (1109)% 100= 9

Therefore, the first pseudorandom number for current seed (cur = 92) is 9.

Second pseudorandom numbers:

Here, let us consider the current seed “cur” as “9”. That is, result of first pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 9 + 5)% 100= (108 + 5)% 100= (113)% 100= 13

Therefore, the second pseudorandom number for current seed (cur = 9) is 13.

Third pseudorandom numbers:

Here, let us consider the current seed “cur” as “13”. That is, result of second pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 13 + 5)% 100= (156 + 5)% 100= (161)% 100= 61

Therefore, the third pseudorandom number for current seed (cur = 13) is 61.

Fourth pseudorandom numbers:

Here, let us consider the current seed “cur” as “61”. That is, result of second pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 61 + 5)% 100= (732 + 5)% 100= (737)% 100= 37

Therefore, the fourth pseudorandom number for current seed (cur = 61) is 37.

Fifth pseudorandom numbers:

Here, let us consider the current seed “cur” as “37”. That is, result of second pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 37 + 5)% 100= (444 + 5)% 100= (449)% 100= 49

Therefore, the fourth pseudorandom number for current seed (cur = 37) is 49.

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03:09

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Answer 2

Question

Chapter 3, Problem 1R

Expert Solution & Answer

Program Plan Intro

Pseudorandom Number generation:

In Java, there is a built-in class java.util.Random whose object as pseudorandom number to determine the sequence of numbers by randomly.

Note: Refer page number 113 to formula for next pseudorandom number in the text book.

According the formula given by the text book, the current seed “cur” value is needed to find the next pseudorandom number. But, here the only one current seed “cur” is given to find the five next pseudorandom numbers.

Apply the given inputs for five times; get the same next pseudorandom number. So, take current seed value as “next pseudorandom number” to find the next pseudorandom numbers.

Explanation of Solution

Determine the next five pseudorandom numbers:

The given inputs are,

a = 12

b = 5

n = 100

Current seed (cur) = 92

The formula for next pseudorandom number is given below:

next = (a × cur + b)% n (1)

First pseudorandom numbers:

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 92 + 5)% 100= (1104 + 5)% 100= (1109)% 100= 9

Therefore, the first pseudorandom number for current seed (cur = 92) is 9.

Second pseudorandom numbers:

Here, let us consider the current seed “cur” as “9”. That is, result of first pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 9 + 5)% 100= (108 + 5)% 100= (113)% 100= 13

Therefore, the second pseudorandom number for current seed (cur = 9) is 13.

Third pseudorandom numbers:

Here, let us consider the current seed “cur” as “13”. That is, result of second pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 13 + 5)% 100= (156 + 5)% 100= (161)% 100= 61

Therefore, the third pseudorandom number for current seed (cur = 13) is 61.

Fourth pseudorandom numbers:

Here, let us consider the current seed “cur” as “61”. That is, result of second pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 61 + 5)% 100= (732 + 5)% 100= (737)% 100= 37

Therefore, the fourth pseudorandom number for current seed (cur = 61) is 37.

Fifth pseudorandom numbers:

Here, let us consider the current seed “cur” as “37”. That is, result of second pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 37 + 5)% 100= (444 + 5)% 100= (449)% 100= 49

Therefore, the fourth pseudorandom number for current seed (cur = 37) is 49.

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03:09

Answer 3

Question

Chapter 3, Problem 1R

Expert Solution & Answer

Program Plan Intro

Pseudorandom Number generation:

In Java, there is a built-in class java.util.Random whose object as pseudorandom number to determine the sequence of numbers by randomly.

Note: Refer page number 113 to formula for next pseudorandom number in the text book.

According the formula given by the text book, the current seed “cur” value is needed to find the next pseudorandom number. But, here the only one current seed “cur” is given to find the five next pseudorandom numbers.

Apply the given inputs for five times; get the same next pseudorandom number. So, take current seed value as “next pseudorandom number” to find the next pseudorandom numbers.

Explanation of Solution

Determine the next five pseudorandom numbers:

The given inputs are,

a = 12

b = 5

n = 100

Current seed (cur) = 92

The formula for next pseudorandom number is given below:

next = (a × cur + b)% n (1)

First pseudorandom numbers:

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 92 + 5)% 100= (1104 + 5)% 100= (1109)% 100= 9

Therefore, the first pseudorandom number for current seed (cur = 92) is 9.

Second pseudorandom numbers:

Here, let us consider the current seed “cur” as “9”. That is, result of first pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 9 + 5)% 100= (108 + 5)% 100= (113)% 100= 13

Therefore, the second pseudorandom number for current seed (cur = 9) is 13.

Third pseudorandom numbers:

Here, let us consider the current seed “cur” as “13”. That is, result of second pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 13 + 5)% 100= (156 + 5)% 100= (161)% 100= 61

Therefore, the third pseudorandom number for current seed (cur = 13) is 61.

Fourth pseudorandom numbers:

Here, let us consider the current seed “cur” as “61”. That is, result of second pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 61 + 5)% 100= (732 + 5)% 100= (737)% 100= 37

Therefore, the fourth pseudorandom number for current seed (cur = 61) is 37.

Fifth pseudorandom numbers:

Here, let us consider the current seed “cur” as “37”. That is, result of second pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 37 + 5)% 100= (444 + 5)% 100= (449)% 100= 49

Therefore, the fourth pseudorandom number for current seed (cur = 37) is 49.

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03:09

Answer 4

Question

Chapter 3, Problem 1R

Expert Solution & Answer

Program Plan Intro

Pseudorandom Number generation:

In Java, there is a built-in class java.util.Random whose object as pseudorandom number to determine the sequence of numbers by randomly.

Note: Refer page number 113 to formula for next pseudorandom number in the text book.

According the formula given by the text book, the current seed “cur” value is needed to find the next pseudorandom number. But, here the only one current seed “cur” is given to find the five next pseudorandom numbers.

Apply the given inputs for five times; get the same next pseudorandom number. So, take current seed value as “next pseudorandom number” to find the next pseudorandom numbers.

Explanation of Solution

Determine the next five pseudorandom numbers:

The given inputs are,

a = 12

b = 5

n = 100

Current seed (cur) = 92

The formula for next pseudorandom number is given below:

next = (a × cur + b)% n (1)

First pseudorandom numbers:

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 92 + 5)% 100= (1104 + 5)% 100= (1109)% 100= 9

Therefore, the first pseudorandom number for current seed (cur = 92) is 9.

Second pseudorandom numbers:

Here, let us consider the current seed “cur” as “9”. That is, result of first pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 9 + 5)% 100= (108 + 5)% 100= (113)% 100= 13

Therefore, the second pseudorandom number for current seed (cur = 9) is 13.

Third pseudorandom numbers:

Here, let us consider the current seed “cur” as “13”. That is, result of second pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 13 + 5)% 100= (156 + 5)% 100= (161)% 100= 61

Therefore, the third pseudorandom number for current seed (cur = 13) is 61.

Fourth pseudorandom numbers:

Here, let us consider the current seed “cur” as “61”. That is, result of second pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 61 + 5)% 100= (732 + 5)% 100= (737)% 100= 37

Therefore, the fourth pseudorandom number for current seed (cur = 61) is 37.

Fifth pseudorandom numbers:

Here, let us consider the current seed “cur” as “37”. That is, result of second pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 37 + 5)% 100= (444 + 5)% 100= (449)% 100= 49

Therefore, the fourth pseudorandom number for current seed (cur = 37) is 49.

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03:09

Answer 5

Expert Solution & Answer

Program Plan Intro

Pseudorandom Number generation:

In Java, there is a built-in class java.util.Random whose object as pseudorandom number to determine the sequence of numbers by randomly.

Note: Refer page number 113 to formula for next pseudorandom number in the text book.

According the formula given by the text book, the current seed “cur” value is needed to find the next pseudorandom number. But, here the only one current seed “cur” is given to find the five next pseudorandom numbers.

Apply the given inputs for five times; get the same next pseudorandom number. So, take current seed value as “next pseudorandom number” to find the next pseudorandom numbers.

Explanation of Solution

Determine the next five pseudorandom numbers:

The given inputs are,

a = 12

b = 5

n = 100

Current seed (cur) = 92

The formula for next pseudorandom number is given below:

next = (a × cur + b)% n (1)

First pseudorandom numbers:

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 92 + 5)% 100= (1104 + 5)% 100= (1109)% 100= 9

Therefore, the first pseudorandom number for current seed (cur = 92) is 9.

Second pseudorandom numbers:

Here, let us consider the current seed “cur” as “9”. That is, result of first pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 9 + 5)% 100= (108 + 5)% 100= (113)% 100= 13

Therefore, the second pseudorandom number for current seed (cur = 9) is 13.

Third pseudorandom numbers:

Here, let us consider the current seed “cur” as “13”. That is, result of second pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 13 + 5)% 100= (156 + 5)% 100= (161)% 100= 61

Therefore, the third pseudorandom number for current seed (cur = 13) is 61.

Fourth pseudorandom numbers:

Here, let us consider the current seed “cur” as “61”. That is, result of second pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 61 + 5)% 100= (732 + 5)% 100= (737)% 100= 37

Therefore, the fourth pseudorandom number for current seed (cur = 61) is 37.

Fifth pseudorandom numbers:

Here, let us consider the current seed “cur” as “37”. That is, result of second pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 37 + 5)% 100= (444 + 5)% 100= (449)% 100= 49

Therefore, the fourth pseudorandom number for current seed (cur = 37) is 49.

Answer 6

Expert Solution & Answer

Program Plan Intro

Pseudorandom Number generation:

In Java, there is a built-in class java.util.Random whose object as pseudorandom number to determine the sequence of numbers by randomly.

Note: Refer page number 113 to formula for next pseudorandom number in the text book.

According the formula given by the text book, the current seed “cur” value is needed to find the next pseudorandom number. But, here the only one current seed “cur” is given to find the five next pseudorandom numbers.

Apply the given inputs for five times; get the same next pseudorandom number. So, take current seed value as “next pseudorandom number” to find the next pseudorandom numbers.

Explanation of Solution

Determine the next five pseudorandom numbers:

The given inputs are,

a = 12

b = 5

n = 100

Current seed (cur) = 92

The formula for next pseudorandom number is given below:

next = (a × cur + b)% n (1)

First pseudorandom numbers:

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 92 + 5)% 100= (1104 + 5)% 100= (1109)% 100= 9

Therefore, the first pseudorandom number for current seed (cur = 92) is 9.

Second pseudorandom numbers:

Here, let us consider the current seed “cur” as “9”. That is, result of first pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 9 + 5)% 100= (108 + 5)% 100= (113)% 100= 13

Therefore, the second pseudorandom number for current seed (cur = 9) is 13.

Third pseudorandom numbers:

Here, let us consider the current seed “cur” as “13”. That is, result of second pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 13 + 5)% 100= (156 + 5)% 100= (161)% 100= 61

Therefore, the third pseudorandom number for current seed (cur = 13) is 61.

Fourth pseudorandom numbers:

Here, let us consider the current seed “cur” as “61”. That is, result of second pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 61 + 5)% 100= (732 + 5)% 100= (737)% 100= 37

Therefore, the fourth pseudorandom number for current seed (cur = 61) is 37.

Fifth pseudorandom numbers:

Here, let us consider the current seed “cur” as “37”. That is, result of second pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 37 + 5)% 100= (444 + 5)% 100= (449)% 100= 49

Therefore, the fourth pseudorandom number for current seed (cur = 37) is 49.

Answer 7

Expert Solution & Answer

Answer 8

Expert Solution & Answer

Answer 9

Program Plan Intro

Pseudorandom Number generation:

In Java, there is a built-in class java.util.Random whose object as pseudorandom number to determine the sequence of numbers by randomly.

Note: Refer page number 113 to formula for next pseudorandom number in the text book.

According the formula given by the text book, the current seed “cur” value is needed to find the next pseudorandom number. But, here the only one current seed “cur” is given to find the five next pseudorandom numbers.

Apply the given inputs for five times; get the same next pseudorandom number. So, take current seed value as “next pseudorandom number” to find the next pseudorandom numbers.

Answer 10

Explanation of Solution

Determine the next five pseudorandom numbers:

The given inputs are,

a = 12

b = 5

n = 100

Current seed (cur) = 92

The formula for next pseudorandom number is given below:

next = (a × cur + b)% n (1)

First pseudorandom numbers:

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 92 + 5)% 100= (1104 + 5)% 100= (1109)% 100= 9

Therefore, the first pseudorandom number for current seed (cur = 92) is 9.

Second pseudorandom numbers:

Here, let us consider the current seed “cur” as “9”. That is, result of first pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 9 + 5)% 100= (108 + 5)% 100= (113)% 100= 13

Therefore, the second pseudorandom number for current seed (cur = 9) is 13.

Third pseudorandom numbers:

Here, let us consider the current seed “cur” as “13”. That is, result of second pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 13 + 5)% 100= (156 + 5)% 100= (161)% 100= 61

Therefore, the third pseudorandom number for current seed (cur = 13) is 61.

Fourth pseudorandom numbers:

Here, let us consider the current seed “cur” as “61”. That is, result of second pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 61 + 5)% 100= (732 + 5)% 100= (737)% 100= 37

Therefore, the fourth pseudorandom number for current seed (cur = 61) is 37.

Fifth pseudorandom numbers:

Here, let us consider the current seed “cur” as “37”. That is, result of second pseudorandom number.

Substitute the “a”, “b”, “n”, and “cur” in the Equation (1) to determine the first next pseudorandom number is given below:

next = (12 × 37 + 5)% 100= (444 + 5)% 100= (449)% 100= 49

Therefore, the fourth pseudorandom number for current seed (cur = 37) is 49.

Answer 11

Chapter 3, Problem 1R Chapter 3, Problem 2R Chapter 3, Problem 3R Chapter 3, Problem 4R Chapter 3, Problem 5R Chapter 3, Problem 6R Chapter 3, Problem 7R Chapter 3, Problem 8R Chapter 3, Problem 9R Chapter 3, Problem 10R

Chapter 3, Problem 1R

Explanation of Solution

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Chapter 3 Solutions