A local grocery delivery time has a uniform distribution over 15 to 65 minutes. What is the probability that the grocery delivery time is more than 20 minutes on a given day

The probability is 0.9

Step-by-step explanation:

We start by calculating the density function

That will be;

f(x) = 1/(b-a)

b and a are the extremes

from the question,

a = 15

b = 65

So f(x)

= 1/(65-15) = 1/50 = 0.02

The probability we want to calculate is;

P( x > 20)

The termination point is 65

So the probability will be

(65-20) * 0.02

= 0.9