(Round to three Approximate the mean of the random variable X based on the simulation for 50 games. hits (Round to three decimal places as needed) X

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.
X
0
1
2
3
4
5
P(x) 0.1671 0 3335 0.2777 0.1482 0.0380 0.0355
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.
HX-
1005 INS
(Round to three decimal places as needed.)
Compute the theoretical standard deviation of the random variable X for the given probability distribution.
x = 1.228 hits
(Round to three decimal places as needed.)
Approximate the mean of the random variable X based on the simulation for 25 games.
X 1.96 hits
(Round to three decimal places as needed)
Approximate the standard deviation of the random variable X based on the simulation for 25 games.
S 1.20
hits
(Round to three decimal places as needed)
Approximate the mean of the random variable X based on the simulation for 50 games.
X~
hits
(Round to three decimal places as needed.)
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. X 0 1 2 3 4 5 P(x) 0.1671 0 3335 0.2777 0.1482 0.0380 0.0355 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. HX- 1005 INS (Round to three decimal places as needed.) Compute the theoretical standard deviation of the random variable X for the given probability distribution. x = 1.228 hits (Round to three decimal places as needed.) Approximate the mean of the random variable X based on the simulation for 25 games. X 1.96 hits (Round to three decimal places as needed) Approximate the standard deviation of the random variable X based on the simulation for 25 games. S 1.20 hits (Round to three decimal places as needed) Approximate the mean of the random variable X based on the simulation for 50 games. X~ hits (Round to three decimal places as needed.)
Data Tables
Table of the numbers of hits for 25 games
1 2 1
2 3 3 3 3
2 1
2
5 1 1 2
2
Table of the numbers of hits for 50 games
O
0 1
2
1
3 3
1
3 2 5 1
22
3 4 1 0 2 0 2 0 2 1
2 2 1 1
2 3 3
2
0|0|1|0|2|2|
2 3 1 1 3 2
Transcribed Image Text:Data Tables Table of the numbers of hits for 25 games 1 2 1 2 3 3 3 3 2 1 2 5 1 1 2 2 Table of the numbers of hits for 50 games O 0 1 2 1 3 3 1 3 2 5 1 22 3 4 1 0 2 0 2 0 2 1 2 2 1 1 2 3 3 2 0|0|1|0|2|2| 2 3 1 1 3 2
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