X is a discrete random variable with the following probability distribution: -2 -1 1 1 1 1 1 1 P(X=x) 12 4 3 4 12 Find the mean µ and variance o² for X. Find and tabulate the probability distribution of the sampling means of size 2 taken with replacement from X. Find the mean and variance for the sample means. (a) (b) (c)

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need help with a) , b) and c)..... NOTE THAT for question a) it's population mean and population variance......the answer for a) is 0 and 7/6

1.
X is a discrete random variable with the following probability distribution:
-2
-1
1
2
1
1
1
1
1
P(X=x)
12
12
Find the mean u and variance o for X.
Find and tabulate the probability distribution of the sampling means of size 2
taken with replacement from X.
Find the mean and variance for the sample means.
(a)
(b)
(c)
(d)
Hence, verify that E(X) = µ and Var(X):
%3D
Write down the mean and variance for the sampling means for a size n = 3
taken with replacement from X.
(e)
Transcribed Image Text:1. X is a discrete random variable with the following probability distribution: -2 -1 1 2 1 1 1 1 1 P(X=x) 12 12 Find the mean u and variance o for X. Find and tabulate the probability distribution of the sampling means of size 2 taken with replacement from X. Find the mean and variance for the sample means. (a) (b) (c) (d) Hence, verify that E(X) = µ and Var(X): %3D Write down the mean and variance for the sampling means for a size n = 3 taken with replacement from X. (e)
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