The probability distribution of the random variable X represents the number of hits a baseball player obtained in a game for the 2012 baseball season. 1 5 4 P(x) 0.1661 0.3400 0.2866 0.1481 0 0377 0.0215 The probability distribution was used along with statistical software to simulate 25 repetitions of the experiment (25 games). The number of hits was recorded. Approximate the mean and standard deviation of the random variable X based on the simulation. The simulation was repeated by performing 50 repetitions of the experiment. Approximate the mean and standard deviation of the random variable Compare your results to the theoretical mean and standa deviation. What property is being illustrated? E Click the icon to view the data tables Data Tables Compute the theoretical mean of the random varable X for the given probability distribution. Hx = 1.616 hits (Round to three decimal places as needed.) Table of the numbers of hits for 25 games 1 2 Compute the theoretical standard deviation of the random vanable X for the given probability distribution 1. 2 11 Ox = 1.162 hits (Round to three decimal places as needed.) Table of the numbers of hits for 50 games Approxirmate the mean of the random variable X based on the simulation for 25 games. 14 1 x hits (Round to three decimal places as needed.) 3 3 1 1 22 120 Enter your answer in the answer box and then click Check Answer nswer

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The probability distribution of the random variable X represents the number of hits a baseball player obtained in a game for the 2012 baseball season.
1
4
P(x) 0.1661 0.3400 0.2866 0.1481 0 0377 0.0215
The probability distribution was used along with statistical software to simulate 25 repetitions of the experiment (25 games). The number of hits was recorded. Approximate the mean and standard deviation of the random variable X
based on the simulation. The simulation was repeated by performing 50 repetitions of the experiment. Approximate the mean and standard deviation of the random variable Compare your results to the theoretical mean and standard
deviation. What property is being illustrated?
: Click the icon to view the data tables
Data Tables
Compute the theoretical mean of the random vanable X for the given probability distribution.
Hx = 1.616 hits
(Round to three decimal places as needed.)
Table of the numbers of hits for 25 games
1
1 4
2
Compute the theoretical standard deviation of the random vanable X for the given probability distribution
1.
Ox = 1.162 hits
(Round to three decimal places as needed.)
Table of the numbers of hits for 50 games
Approxirmate the mean of the random variable X based on the simulation for 25 games.
14
x hits
3
(Round to three decimal places as needed.)
1.
310
1
22 120
Enter your answer in the answer box and then click Check Answer
nswer
Transcribed Image Text:The probability distribution of the random variable X represents the number of hits a baseball player obtained in a game for the 2012 baseball season. 1 4 P(x) 0.1661 0.3400 0.2866 0.1481 0 0377 0.0215 The probability distribution was used along with statistical software to simulate 25 repetitions of the experiment (25 games). The number of hits was recorded. Approximate the mean and standard deviation of the random variable X based on the simulation. The simulation was repeated by performing 50 repetitions of the experiment. Approximate the mean and standard deviation of the random variable Compare your results to the theoretical mean and standard deviation. What property is being illustrated? : Click the icon to view the data tables Data Tables Compute the theoretical mean of the random vanable X for the given probability distribution. Hx = 1.616 hits (Round to three decimal places as needed.) Table of the numbers of hits for 25 games 1 1 4 2 Compute the theoretical standard deviation of the random vanable X for the given probability distribution 1. Ox = 1.162 hits (Round to three decimal places as needed.) Table of the numbers of hits for 50 games Approxirmate the mean of the random variable X based on the simulation for 25 games. 14 x hits 3 (Round to three decimal places as needed.) 1. 310 1 22 120 Enter your answer in the answer box and then click Check Answer nswer
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