Chapter 5 (Distributions and Binomial Probability) For #16-18: A city department of transportation studied traffic congestion on a certain highway. To encourage carpooling, the department will recommend a carpool lane if the average number of people in passenger cars on the highway is less than 2. The probability distribution of the number of people in passenger cars on the highway is shown in the table. Number of people 1 Probability 0.56 2 0.28 0.08 0.06 0.02 16. Is the given probability distribution a valid probability distribution? Explain why or why not. (A)yes because each probability is between 0 and I, and the sum of all probabilities equals I. (B) yes because the number of people are consecutive integers from 1 to 5. (C) yes because the probabilities are rounded to the same decimal place. (D) no because the probabilities add to less than 1. (E) no because the probabilities add to greater than 1. 17. Randomly select a passenger car on the highway. According to the distribution that is the probability it contains 2 or more people? (A)0.28 (B) 0.36 (C) 0.42 (D) 0.44 (E) 0.56 18. Based on the probability distribution, what is the mean number (expected value) of people in passenger cars on the highway? (A)0.28 (B) 0.56 (C) 1.7 (D) 2 (E) 3 19. According to worldometers.info the mortality rate of COVID-19 for people with the pre-existing condition hypertension, is 6%. If 10 patients with COVID-19 and hypertension enter the hospital, what is the probability that exactly one of them dies as a result? Since patients either survive or die independently of each other, and the probability is known to be constant, consider this a binomial probability question. (A)0.06 (B) 0.10 (C) 0.1176 (D) 0.3438 (E) 0.5386