Question 1: Classify each of the following random variables as discrete or continuous. a. The time left on a parking meter b. The number of bats broken by a major league baseball team in a season c. The number of cars in a parking lot at a given time d. The price of a car e. The number of cars crossing a bridge on a given day f. The time spent by a physician examining a patient Question 2: According to the most recent data from the Insurance Research Council, 16.1% of motorists in the United States were uninsured in 2010 (virginiabeach.injuryboard.com). Suppose that currently 16.1% of motorists in the United States are uninsured. Suppose that two motorists are selected at random. Let x denote the number of motorists in this sample of two who are uninsured. Construct the probability distribution table of x. Draw a tree diagram for this problem. Question 3: The following table, reproduced from Exercise 5.12, lists the probability distribution of the number of patients entering the emergency room during a 1-hour period at Millard Fellmore Memorial Hospital Patients per hour 0 1 2 3 4 5 6 Probability .2725 .3543 .2303 .0998 .0324 .0084 .0023 Calculate the mean and standard deviation for this probability distribution. Question 4: Which of the following are binomial experiments? Explain why. a. Drawing 3 balls with replacement from a box that contains 10 balls, 6 of which are red and 4 are blue, and observing the colors of the drawn balls b. Drawing 3 balls without replacement from a box that contains 10 balls, 6 of which are red and 4 are blue, and observing the colors of the drawn balls c. Selecting a few households from New York City and observing whether or not they own stocks when it is known that 28% of all households in New York City own stocks d. Selecting a few voters from a very large population of voters and observing whether or not each of them favors a certain proposition in an election when 54% of all voters are known to be in favor of this proposition.

Question 5: A fast food chain store conducted a taste survey before marketing a new hamburger. The results of the survey showed that 70% of the people who tried this hamburger liked it. Encouraged by this result, the company decided to market the new hamburger. Assume that 70% of all people like this hamburger. On a certain day, eight customers bought it for the first time. a. Let x denote the number of customers in this sample of eight who will like this hamburger. Using the binomial probabilities table, obtain the probability distribution of x and draw a graph of the probability distribution. Determine the mean and standard deviation of x. b. Using the probability distribution of part a, find the probability that exactly three of the eight customers will like this hamburger.