A manufacturing process produces a critical part of average length 100 millimeters, with a standard deviation of 2 millimeters. All parts deviating by more than 5 millimeters from the mean must be rejected. What percentage of the parts must be rejected, on the average? Assume a normal distribution.
5.) The weight of 100 college students closely follows a normal distribution with mean of 130 pounds and a standard deviation of 5.2 pounds.
How many of these students would you expect to weigh at most 142 pounds?
6.) Two cards are drawn from a pack of 52 cards one by one without replacement; that is, the first card is not replaced before the second card is drawn. What is the probability of the second card being a king of spades if the first card is a king of clubs?