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In the probability distribution to the right, the random variable X represents the number of hits a baseball player obtained in a game over the course of a season. Complete parts (a) through (f) below. P(x) O 0.1663 1 0.3351 0.2862 3 0.1495 0.0375 0.0254 5

In the probability distribution to the right, the random variable X represents the number of hits a baseball player obtained in a game over the course of a season. Complete parts (a) through (f) below. P(x) O 0.1663 1 0.3351 0.2862 3 0.1495 0.0375 0.0254 5

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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In the probability distribution to the right, the random variable X represents the number of hits a baseball player obtained in a game over the course of a season. Complete parts (a) through (f) below. P(x) D 0.1663 1 0.3351 0.2862 3 0.1495 4 0.0375 0.0254 ..... (c) Compute and interpret the mean of the random variable X. Hx = (Type an integer or a decimal. Do not round.) hits Which of the following interpretations of the mean is correct? O A. The observed number of hits per game will be less than the mean number of hits per game for most games. B. The observed number of hits per game will be equal to the mean number of hits per game for most games. C. Over the course of many games, one would expect the mean number of hits per game to be the mean of the random variable. D. In any number of games, one would expect the mean number of hits per game to be the mean of the random variable. (d) Compute the standard deviation of the random variable X. Ox = (Round to three decimal places as needed.) hits (e) What is the probability that in a randomly selected game, the player got 2 hits? (Type an integer or a decimal. Do not round.) (f) What is the probability that in a randomly selected game, the player got more than 1 hit? (Type an integer or a decimal. Do not round.) O O
Transcribed Image Text:In the probability distribution to the right, the random variable X represents the number of hits a baseball player obtained in a game over the course of a season. Complete parts (a) through (f) below. P(x) D 0.1663 1 0.3351 0.2862 3 0.1495 4 0.0375 0.0254 ..... (c) Compute and interpret the mean of the random variable X. Hx = (Type an integer or a decimal. Do not round.) hits Which of the following interpretations of the mean is correct? O A. The observed number of hits per game will be less than the mean number of hits per game for most games. B. The observed number of hits per game will be equal to the mean number of hits per game for most games. C. Over the course of many games, one would expect the mean number of hits per game to be the mean of the random variable. D. In any number of games, one would expect the mean number of hits per game to be the mean of the random variable. (d) Compute the standard deviation of the random variable X. Ox = (Round to three decimal places as needed.) hits (e) What is the probability that in a randomly selected game, the player got 2 hits? (Type an integer or a decimal. Do not round.) (f) What is the probability that in a randomly selected game, the player got more than 1 hit? (Type an integer or a decimal. Do not round.) O O
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