Question 375967
{{{P(alpha < B < beta) = P((alpha - 120)/15 < (B - 120)/15 < (beta - 120)/15) 
= P((alpha - 120)/15 < Z <(beta - 120)/15) = 0.997}}}.  Then 
{{{(alpha - 120)/15 = -2.96}}}, and {{{(beta - 120)/15 = 2.96}}}.  We get 
{{{alpha = 75.6}}}, and {{{beta = 164.44}}}.