Question

Using the distribution of X in the table, construct a sampling distribution for the sample mean...

  1. Using the distribution of X in the table, construct a sampling distribution for the sample mean for samples of size 3. Please show all work.

X

P(X)

1

.22

2

.32

3

.46
Math   Statistics-And-Probability   
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Answer #1

Mean = X * P(X)

= 1 * 0.22 + 2 * 0.32 + 3 * 0.42

= 2.24

Standard deviation S = sqrt [ X2 * P(X) - 2 ]

= sqrt [ ( 12 * 0.22 + 22 * 0.32 + 32 * 0.42 ) - 2.242 ]

= 0.5122

Sample distribution of sample mean

mean of sampling distribution of sample mean = = 2.24

Standard deviation of sampling distribution of sample mean = S = 0.5122

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