Question: For a sample size of N = 4 of the random variable defined in problem 3, having a mean \({{\mu }_{X}}\) of -1 and a standard deviation \({{\sigma }_{X}}\) of 2;

a. Calculate the mean and standard deviation for the continuous random variable X (the mean value of the sample) using the Central Limit Theorem.

b. Calculate \(\Pr \left( 0<\bar{X}<1 \right)\)