You are given the following box of 4 tickets:

[ [ 12 ] [ 13 ] [ 17 ] [ 18 ] ]

You draw from the box with replacement 100 times. We want to determine the probability that the average of 100 draws is between 14.5 and 15.3.

(a)What is the Expected Value for the average of the draws?

(b)What is the SE? Please report to 5 decimal places!

(c)What is the probability that the average of the draws is between 14.5 and 15.3?(Please report both your resulting z-scores and your final probability.)