1. The probability that a salesperson will sell a magazine subscription to someone who has been randomly selected from the telephone directory is 20%. If the salesperson calls 10 individuals this evening, what is the probability that a) No subscription will be sold? b) Exactly two subscriptions will be sold? c) At least one subscription will be sold? d) At most three subscriptions will be sold? 2. Certain emergency calls come to a telephone switchboard at an average rate of 2 per hour. Find the probability that there are: a) 2 or more calls in a 1 hour period b) 4 or more calls in a 2 hour period 3. A company has five applicants for two positions: two women and three men. Suppose that the five applicants are equally qualified and that no preference is given for choosing either gender. Let X equal to the number of women chosen to fill the two positions. a) Write down the appropriate probability distribution with its parameters b) What are the mean and variance of this distribution? c) What is the probability that a company will hire exactly one woman? 4. Evidence shows that the probability that a driver will be involved in a serious car accident during a given year is 0.01. A particular company employs 100 full-time travelling agents. Based on this evidence, find the probability that exactly two of the agents will be involved in a serious car accident during the coming year. 5. A set of final exam grades in an introductory statistics course was found to be normally distributed with a mean of 73 and a standard deviation of 8. a) What is the probability of getting at most a grade of 91 on this exam? b) What percentage of students scored between 65 and 89? c) What is the final exam grade if only 5% of the students taking the exam scored higher? 6. For the quality control purposes, suppose that a sample of 1600 tires of the same type is obtained at random from an ongoing production process in which 8% of all such tires produced are defective. What is the probability that in such a sample not more than 150 tires will be defective