# Question: a grocery store purchases bags of oranges from california to...

###### Question details

A grocery store purchases bags of oranges from California to
sell in their store. The weight of a bag of California oranges is
normally distributed with a mean of 8.1 pounds and a variance of
1.21 pounds^{2}. A bag of California oranges is randomly
selected in the grocery store.

(Round all probability answers to four decimal places.)

a. What is the probability that a randomly selected California orange bag purchased by a customer weighs more than 8 pounds?

b. What is the probability that a randomly selected California orange bag purchased by a customer weighs between 6.5 and 7.6 pounds?

c. What is the probability that a randomly selected California orange bag purchased by a customer weighs exactly 5 pounds?

(Round weight to two decimal places)

d. 16% of the time, a customer will buy a bag of California oranges that weighs more than a specific weight. Find that weight.