Generate 900 samples of size 400 random numbers from Beta distribution with shape parameters a = 0.6, ß = 0.4. For each of these 900 samples calculate the mean. a) Find the simulated probability that the mean is between 0.58 and 0.60. b) Find the mean of the means. c) Find the standard deviation of the means.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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1. Generate 900 samples of size 400 random numbers from Beta distribution with shape
parameters a = 0.6, ß = 0.4. For each of these 900 samples calculate the mean.
a) Find the simulated probability that the mean is between 0.58 and 0.60.
b) Find the mean of the means.
c) Find the standard deviation of the means.
d) Draw the histogram of the means.
Transcribed Image Text:1. Generate 900 samples of size 400 random numbers from Beta distribution with shape parameters a = 0.6, ß = 0.4. For each of these 900 samples calculate the mean. a) Find the simulated probability that the mean is between 0.58 and 0.60. b) Find the mean of the means. c) Find the standard deviation of the means. d) Draw the histogram of the means.
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