In the probability distribution to the right, the random variable X represents the number of hits a baseball player obtalled through (f) below. 0 4 5

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Complete (D)

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.
MTV VI
The distribution has one mode and is skewed right.
(c) Compute and interpret the mean of the random variable X.
Px= 1.6319 hits
(Type an integer or a decimal. Do not round.)
Which of the following interpretations of the mean is correct?
...
OA. The observed number of hits per game will be less than the mean number of hits per game for most games
OB. The observed number of hits per game will be equal to the mean number of hits per game for most games.
OC. In any number of games, one would expect the mean number of hits per game to be the mean of the random variable.
D. 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) Compute the standard deviation of the random variable X
ox
hits
(Round to three decimal places as needed.)
X
0
1
2
3
4
5
P(x)
0.1677
0.3351
0.2844
0.1486
0.0388
0.0254
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. MTV VI The distribution has one mode and is skewed right. (c) Compute and interpret the mean of the random variable X. Px= 1.6319 hits (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? ... OA. The observed number of hits per game will be less than the mean number of hits per game for most games OB. The observed number of hits per game will be equal to the mean number of hits per game for most games. OC. In any number of games, one would expect the mean number of hits per game to be the mean of the random variable. D. 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) Compute the standard deviation of the random variable X ox hits (Round to three decimal places as needed.) X 0 1 2 3 4 5 P(x) 0.1677 0.3351 0.2844 0.1486 0.0388 0.0254
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