Question

A local pizza restaurant delivery time has a uniform distribution over 10 to 75 minutes. What is the probability that the pizza delivery time is more than 30 minutes on a given day

Answer 1

0.6923

Explanation:

we have to find P(X>45)

uniform distribution formula is P(X>A) = (b-A)/(b-a)

we have A = 30, a = 10 and b =75

P(X>45) = (75-30)/(75-10) = 45/65

P(X>45) = 0.6923

Answer 2

The probability that the pizza delivery takes more than 30 minutes is 61.53%.

Explanation:

To determine the percentage of probability that the pizza will take more than 30 minutes to be delivered, knowing that the delivery delay time is evenly distributed between 10 and 75 minutes, the following calculation must be performed:

75 - 10 = 65

100/65 = 1.53

30 - 10 = 20

65 - 20 = 40

40 x 1.53 = 61.53

Therefore, the probability that the pizza delivery takes more than 30 minutes is 61.53%.