Suppose that the weights of airline passenger bags are normally distributed with a mean of 47.56 pounds and a standard deviation of 3.08 pounds.
What is the probability that the weight of a bag will be greater than the maximum allowable weight of 50 pounds? Give your answer to four decimal places.
Let X represent the weight of a randomly selected bag. For what value of c is P(E(X) - c < X < E(X) + c)=0.81? Give your answer to four decimal places.
Assume the weights of individual bags are independent. What is the expected number of bags out of a sample of 20 that weigh greater than 50 lbs? Give your answer to four decimal places.
Assuming the weights of individual bags are independent, what is the probability that 5 or fewer bags weigh greater than 50 pounds in a sample of size 20? Give your answer to four decimal places.