5.68 Consider Exercise 5.62. What is the mean num- ber of students who fail the test?In a certain town, 40% of the eligible voters prefer candidate A, 10% prefer candidate B. and the remaining 50% have no preference. You randomly sample 10 eligible voters. What is the probability that 4 will prefer candidate A7 1 will prefer candidate B, and the remaining 5 will have no preference? A small voting district has 101 female voters and 95 male voters. A random sample of 10 voters is drawn. What is the probability exactly 7 of the voters will be female? Suppose you knew that the mean number of calls to a re station on a weekday is 8. What is the probability that on a given weekday there would be 11 calls? An experiment of drawing a random card from an ordinary playing cards deck is done with replacing it back. This was done ten times. Find the probability of getting 2 spades, 3 diamond, 3 club and 2 hearts. It is known that 20% of products on a production line are defective. Products are inspected until rst defective is encountered. What is the probability that the rst defective was found after inspecting exactly 3 products? 5.62 The probability that a student at a local high school fails the screening test for scoliosis (curvature of the spine) is known to be 0.004. Of the next 1875 students at the school who are screened for scoliosis