In: Statistics and Probability
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 7.7 pounds and a variance of 1.21 pounds2. 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 6.1 and 7.2 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. 20% of the time, a customer will buy a bag of California oranges that weighs more than a specific weight. Find that weight.