1Three airlines serve a small town in Ohio Airline A has 49

1)Three airlines serve a small town in Ohio. Airline A has 49% of all scheduled flights, airline B has 34% and airline C has the remaining 17%. Their on-time rates are 80%, 66%, and 38%, respectively. A flight just left on-time. What is the probability that it was a flight of airline A?

Probability =

2) Suppose that at UVA, 75% of all undergraduates are in the College, 9% are in Engineering, 7% are in Commerce, 5% are in Nursing, and 4% are in Architecture. In each school, the percentage of females is as follows: 57% in the College, 25% in Engineering, 46% in Commerce, 86% in Nursing, and 33% in Architecture. If a randomly selected student is male, what is the probability that he\'s from the College?

Probability =

3) A foreman for an injection-molding firm admits that on 22% of his shifts, he forgets to shut off the injection machine on his line. This causes the machine to overheat, increasing the probability that a defective molding will be produced during the early morning run from 4% to 18%. If a molding is randomly selected from the early morning run of a random day, what is the probability that it is defective?

Probability =

4) An aerospace company has submitted bids on two separate federal government defense contracts. The company president believes that there is a 38% probability of winning the first contract. If they win the first contract, the probability of winning the second is 69%. However, if they lose the first contract, the president thinks that the probability of winning the second contract decreases to 55%.

A. What is the probability that they win both contracts?

Probability =

Solution