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 E Compute the theoretical mean of the random variable X for the given probability distribution. Hx= 1.663 hits (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 XX hits (Round to three decimal places as needed.)
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 E Compute the theoretical mean of the random variable X for the given probability distribution. Hx= 1.663 hits (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 XX hits (Round to three decimal places as needed.)
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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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.
0
1
X
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.
Compute the theoretical mean of the random variable X for the given probability distribution.
Px = 1.663 hits
(Round to three decimal places as needed.)
Compute the theoretical standard deviation of the random variable X for the given probability distribution.
0x = 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.
X2 hits
(Round to three decimal places as needed.)
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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