A box of strawberries are normally distributed with an average weight of 1 pound, and a standard deviation of 1 ounce. Answer the following questions by using the empirical rule. ( there are 16 ounces in 1 pound)
a. What is the probability of getting a box of strawberries greater than 1lb 1oz?
b. what is the probability of getting a box of strawberries less than 14oz?
c. Given that a particular box of strawberries weighs less than 1lb 2oz, what is the probability that it is greater than 15oz?
d. Laura needs to buy 10 boxes of strawberries for her party. What is the expected value and variance of the total weight of Laura's strawberries?
e. What is the probability that at least two of laura's strawberry boxes are greater than 14oz?