For the simulation for 25 games, the mean is simulation for 50 games, the mean is the theoretical mean and the standard deviation is the theoretical mean and the standard deviation is the theoretical standard deviation. For the the theoretical standard deviation

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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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.
0
2
3
1
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.
(Round to three decimal places as needed.)
Approximate the standard deviation of the random variable X based on the simulation for 25 games.
S 1.207 hits
(Round to three decimal places as needed.)
Approximate the mean of the random variable X based on the simulation for 50 games.
X 1.680 hits
(Round to three decimal places as needed.)
Approximate the standard deviation of the random variable X based on the simulation for 50 games.
S 1.168 hits
(Round to three decimal places as needed.)
Compare these results to the theoretical mean and standard deviation.
For the simulation for 25 games, the mean is
simulation for 50 games, the mean is
the theoretical mean and the standard deviation is
is
the theoretical mean and the standard
22 500
heading the
OPENBAA
>KE
C
25-2600
4465
15:20-21
the theoretical standard deviation. For the
the theoretical standard deviation.
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 2 3 1 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. (Round to three decimal places as needed.) Approximate the standard deviation of the random variable X based on the simulation for 25 games. S 1.207 hits (Round to three decimal places as needed.) Approximate the mean of the random variable X based on the simulation for 50 games. X 1.680 hits (Round to three decimal places as needed.) Approximate the standard deviation of the random variable X based on the simulation for 50 games. S 1.168 hits (Round to three decimal places as needed.) Compare these results to the theoretical mean and standard deviation. For the simulation for 25 games, the mean is simulation for 50 games, the mean is the theoretical mean and the standard deviation is is the theoretical mean and the standard 22 500 heading the OPENBAA >KE C 25-2600 4465 15:20-21 the theoretical standard deviation. For the the theoretical standard deviation.
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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