Please show all work and explain the use of formulas. I\'ll rate 5 stars, thank you! Let X1, X2, ... , X30 be independent identically distributed N(5, 30) random variables, with an average X-. Calculate P(4 le X- le 6). Find the value of c for which P(5 - c le X- le 5 + c) = 0.99. Solution a)z=(x-mean)/sigma p(4.