ASSIGNMENT #2 QUESTIONS - Due no later than 11:00 pm. on Sunday of Unit 4 0 Worth 3% of nal grade - Graded out of 40 marks 1. Consider a race with 140 participants. How many possible outcomes are there for the top three positions of gold, silver, and bronze? (4 Marks) 2. Suppose we know the following breakdown for internal medicine/pediatric hospitalists .who work at Madison Re'onal Hos uital and the a es of their patients on a given day. Hospitalists Gender What is the probability that the rst patient treated is overESS years old and treated by a male hospitalist (both are independent events) at Madison Regional Hospital? (12 Marks) 3. Customers arrive at the drivethrough lane of a fast food restaurant at a rate of one every 3 minutes. Use the Poisson probability distribution to answer the following (12 Marks) . What is the expected number of customers in one hour? a b. What is the probability that exactly two customers arriving at the drive through lane in a nine-minutes interval? What is the probability that less than two customers arrive at the drive through lane a nineminutes interval? What is the probability that two or more customers arrive at the drive- through lane a nineminutes interval? 4. 30% of the customers at XYZ Stores use a debit card to pay for their purchases. In a recent market research study, 12 of the Store's over 20,000 customers on record was randomly selected for two focus groups on new payment technologies. (12 Marks) a. b. Is the selection of 12 customers a binomial experiment? Please explain. What is the probability that 5 of the 12 customers selected use a debit card to pay for their purchases? What is the probability that at least 4 of the 12 customers selected use a debit card to pay for their purchases? What is the probability that at most 4 of the 12 customers selected use a debit card to pay for their purchases