Suppose the cumulative distribution function of the length i

Suppose the cumulative distribution function of the length (in feet) of pipe is Find P(x LT 1208) If the length specifications are 1195 LT x LT 1205 feet, what is the probability that a randomly selected pipe will meet the specification requirement?

Solution

a)

P(x<1208) = F(1208) = 0.1x - 120 | 1208 = 0.1(1208) - 120 = 0.8 [answer]

b)

P(1195<x<1205) = F(1205) - F(1195) = [0.1(1205) - 120] - 0 = 0.50 [answer]