The Basic Practice of Statistics
8th Edition
ISBN: 9781319042578
Author: David S. Moore, William I. Notz, Michael A. Fligner
Publisher: W. H. Freeman
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Chapter 22.5, Problem 13AYK
a.
To determine
To find: The 95% large-sample confidence interval for the proportion of all adults that play video games who would describe themselves as “games” and also verify that the
b.
To determine
To find: The plus four 95% confidence interval for p.
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5. Let X be a positive random variable with finite variance, and let A = (0, 1).
Prove that
P(X AEX) 2 (1-A)² (EX)²
EX2
6. Let, for p = (0, 1), and xe R. X be a random variable defined as follows:
P(X=-x) = P(X = x)=p. P(X=0)= 1-2p.
Show that there is equality in Chebyshev's inequality for X.
This means that Chebyshev's inequality, in spite of being rather crude, cannot be
improved without additional assumptions.
4. Prove that, for any random variable X, the minimum of EIX-al is attained for
a = med (X).
Chapter 22 Solutions
The Basic Practice of Statistics
Ch. 22.1 - Prob. 1AYKCh. 22.1 - Prob. 2AYKCh. 22.1 - Prob. 3AYKCh. 22.2 - Prob. 4AYKCh. 22.2 - Prob. 5AYKCh. 22.2 - Prob. 6AYKCh. 22.3 - Prob. 7AYKCh. 22.3 - Prob. 8AYKCh. 22.4 - Prob. 9AYKCh. 22.4 - Prob. 10AYK
Ch. 22.4 - Prob. 11AYKCh. 22.5 - Prob. 12AYKCh. 22.5 - Prob. 13AYKCh. 22.5 - Prob. 14AYKCh. 22 - Prob. 22.15CYSCh. 22 - Prob. 22.16CYSCh. 22 - Prob. 22.17CYSCh. 22 - Prob. 22.18CYSCh. 22 - Prob. 22.19CYSCh. 22 - Prob. 22.20CYSCh. 22 - Prob. 22.21CYSCh. 22 - Prob. 22.22CYSCh. 22 - Prob. 22.23CYSCh. 22 - Prob. 22.24CYSCh. 22 - Prob. 22.25ECh. 22 - Prob. 22.26ECh. 22 - Prob. 22.27ECh. 22 - Prob. 22.28ECh. 22 - Prob. 22.29ECh. 22 - Prob. 22.30ECh. 22 - Prob. 22.31ECh. 22 - Prob. 22.32ECh. 22 - Prob. 22.33ECh. 22 - Prob. 22.34ECh. 22 - Prob. 22.35ECh. 22 - Prob. 22.36ECh. 22 - Prob. 22.37ECh. 22 - Prob. 22.38ECh. 22 - Prob. 22.39ECh. 22 - Prob. 22.40ECh. 22 - Prob. 22.41ECh. 22 - Prob. 22.42ECh. 22 - Prob. 22.43ECh. 22 - Prob. 22.44E
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- The college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 13 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? Round your answer to the nearest cent.arrow_forwardThe Honolulu Advertiser stated that in Honolulu there was an average of 659 burglaries per 400,000 households in a given year. In the Kohola Drive neighborhood there are 321 homes. Let r be the number of homes that will be burglarized in a year. Use the formula for Poisson distribution. What is the value of p, the probability of success, to four decimal places?arrow_forwardThe college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 13 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? Round your answer to the nearest cent.arrow_forward
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