6.17 If a point is randomly located in an interval

(a, b)

and if X denotes its distance from

a, then X will be assumed to have a uniform distribution over

.

A plant efficiency expert randomly picks a spot along a 500-foot assembly line from which to observe work habits. Find the probability that she is a within 25 feet of the end of the line.

b within 25 feet of the beginning of the line.

c closer to the beginning than to the end of the line.

(0, b - a )

0 X

f (x)

0.25 1 2 5 Figure 6.7 Probability of at least 2 days of delivery time Copyright