Question

A local grocery store owner wants to learn more about how many apples patrons buy from his store week to week, and he has asked for your help calculating some probabilities. He tells you that he believes the data to be normally distributed, and that the average amount of apples bought each week is 678.32 lbs. with a standard deviation of 53.98 lbs.

A) What is the probability that the store sells more than 750 lbs. of apples in a week?

B) What is the probability that the store sells less than 500 lbs. of apples in a week?

C) What is the probability that the store sells between 600 and 700 lbs. of apples?

D) What is the probability that the store sells exactly 678.32 lbs. of apples?

Answer 1

(a)

(b)

(c)

D)

Since normal distribution is continuous distribution so probability exactly at a point is equal to zero. So,

P(X = 678.32) = 0