Elementary Statistics (13th Edition)
13th Edition
ISBN: 9780134462455
Author: Mario F. Triola
Publisher: PEARSON
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Textbook Question
Chapter 6.3, Problem 17BSC
SAT and ACT Tests Because they enable efficient procedures for evaluating answers, multiple choice questions are commonly used on standardized tests, such as the SAT or ACT. Such questions typically have five choices, one of which is correct. Assume that you must make random guesses for two such questions. Assume that both questions have correct answers of “a.”
a. After listing the 25 different possible samples, find the proportion of correct answers in each sample, then construct a table that describes the sampling distribution of the sample proportions of correct responses.
b. Find the
c. Is the mean of the sampling distribution [from part (b)] equal to the population proportion of correct responses? Does the mean of the sampling distribution of proportions always equal the population proportion?
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a =1500, b=1700 what is percentage of a is b
A 12-inch bar that is clamped at both ends is to be subjected to an increasing amount of stress until it snaps. Let Y = the distance from the left end at which the break occurs. Suppose Y has the following pdf.
f(y) =
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(a) Compute the cdf of Y.
F(y) =
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y 12
Graph the cdf of Y.
F(y)
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y
2
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F(y)
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0.8
0.8
0.6
0.4
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0.6
0.4
0.2
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(b) Compute P(Y ≤ 5), P(Y > 6), and P(5 ≤ y ≤ 6). (Round your answers to three decimal places.)
P(Y ≤ 5) =
P(Y > 6) =
P(5 ≤ y ≤ 6) =
(c) Compute E(Y), E(y²), and V(Y).
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8
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A restaurant serves three fixed-price dinners costing $12, $15, and $20. For a randomly selected couple dining at this restaurant, let X = the cost of the man's dinner and Y = the cost of the woman's dinner. The joint pmf of X and Y is given in the following table.
p(x, y)
15
y
12
20
12
0.05 0.10
0.35
x
15
0.00 0.20
0.10
20
0.05 0.05
0.10
(a) Compute the marginal pmf of X.
x
12
Px(x)
Compute the marginal pmf of Y.
y
Pyly)
12
15
20
15
20
(b) What is the probability that the man's and the woman's dinner cost at most $15 each?
(c) Are X and Y independent? Justify your answer.
X and Y are independent because P(x, y) = Px(x) · Py(y).
X and Y are not independent because P(x, y) =Px(x) · Pyly).
X and Y are not independent because P(x, y) * Px(x) · Py(y).
X and Y are independent because P(x, y) * Px(x) · Py(y).
(d) What is the expected total cost, in dollars, of the dinner for the two people?
$
(e) Suppose that when a couple opens fortune cookies at the conclusion of the meal, they find the…
Chapter 6 Solutions
Elementary Statistics (13th Edition)
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Ch. 6.1 - Standard Normal Distribution. In Exercises 912,...Ch. 6.1 - Standard Normal Distribution. In Exercises 912,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1316,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1316,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1316,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1316,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. 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