Intro Stats
4th Edition
ISBN: 9780321826275
Author: Richard D. De Veaux
Publisher: PEARSON
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Textbook Question
Chapter 5, Problem 1E
Stats test The
Expert Solution & Answer
To determine
Find the number of points scored by Gregor.
Answer to Problem 1E
The number of points scored by Gregor is 65.
Explanation of Solution
Given info:
In a Stats exam, the mean score is 75 points and the standard deviation of score is 5 points. The z-score of Gregor is –2.
Justification:
The z-score of a variable X taking value x is,
Where
From the above equation, the number of points scored by Gregor can be obtained as follows:
Substitute
Thus, the number of points scored by Gregor is 65.
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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.
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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)
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y
12
20
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x
15
0.00 0.20
0.10
20
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x
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Px(x)
Compute the marginal pmf of Y.
y
Pyly)
12
15
20
15
20
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X and Y are independent because P(x, y) * Px(x) · Py(y).
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Chapter 5 Solutions
Intro Stats
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