High temperatures in Southern Maine for the month of July fo

High temperatures in Southern Maine for the month of July follow a uniform distribution over the interval 80°F to 90F. Find the high temperature which 60% of the July days exceed

Solution

Let a = the critical value. Thus,

P(X>a) = 0.60

Note that

P(X>a) = P(a<X<90)

Thus,

P(X>a) = (90-a)/(90-80) = 0.60

Thus,

a = 84 DEGREES FAHRENHEIT [ANSWER]