A worker at an automobile plant is responsible for cleaning a CNC machine at the start of every shift. The probability that the machine has an operating failure during a random shift is 2% if it is cleaned and 10% if it is not cleaned. Suppose the worker can be relied on to clean the machine on 95% of shifts. (a) What is the probability that the CNC machine has an operating failure during a random shift? (b) If the machine has an operating failure during a shift, what is the probability that the worker did not clean it?

It has been determined that the probability of a hurricane occuring on a certain day in a certain area is 4%. What is the probability that a hurricane does not occur on that day?

Suppose that Stephen makes 95% of his free throws. Assume that late in a basketball game, he is fouled and is awarded two shots. (a) What is the probability that he will make both shots? (b) What is the probability that he will make at least one shot? (c) What is the probability that he will miss both shots? (d) Late in a basketball game, a team often intentionally fouls an opposing player in order to stop the game clock. The usual strategy is to intentionally foul the other team's worst free- throw shooter. Assume that Stephen's team's center makes 57% of his free-throw shots. Calculate the probabilities for the center as shown in parts (a), (b), and (c). Assume as in parts (a), (b), and (c) that two shots will be awarded. P(center makes two shots) = P(center makes at least one shot) = P(center misses both shots) =

Suppose there is a 3/10 chance of snow each day this week. What is the probability that it will snow every day this week?