Question: A random variable X takes the eight random samples given in the 7 x 7 matrix (where each value is in normalized form from

A random variable X takes the eight random samples given in the

A random variable X takes the eight random samples given in the 7 x 7 matrix (where each value is in normalized form from 0 to 1): 3/7 2/7 2/7 1/7 3/7 2/7 1/7 1/7 2/7 0 5/7 1/7 0 1/7 1/7 1/7 1/7 1/7 4/7 1/7 1/7 4/7 1/7 3/7 0 6/7 0 1/7 3/7 6/7 1/7 1/7 5/7 0 0 0 o 1 1/7 6/7 5/7 6/7 4/7 4/7 1 Construct the probability mass function; estimate its mean and variance. Perform a goodness-of-fit test of the random samples of X to the Gaussian random variable with the estimated mean and variance. What is the relative frequency with which the null hypothesis is rejected at a 5% level? (Points-10)

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