1. Suppose that only 0.3 of all drivers come to a complete stop at an intersection having flashing red lights in all directions when no other cars are visible. 15 randomly chosen drivers coming to an intersection under these conditions. Let X be the number of drivers come to complete stop at an intersection having flashing red lights in all directions. USE SALT (a) What is the probability distribution of X. Normal distribution o Binomial distribution Exponential distribution. Poisson distribution (b) What are the possible values for X? o 0, 1, 15 1, 14 0, 1, 14 1,... 15 (c) What is the probability of exactly 6 will come to a complete stop? (enter your answer in 3 decimal places) 0.147 (d) What is the probability of at most 6 will come to a complete stop? (Enter your answers in 3 decimal places) 0.677 (e) What is the probability of at least 6 will come to a complete stop? 0.278 (f) How many of the next 15 drivers do you expect to come to a complete stop? 3.4 2. The number of tickets issued by a meter reader for parking-meter violations can be modeled by a Poisson distribution with -5 per hour. (enter your answer in 3 decimal places) (a) What is the probability that exactly three tickets are given out during a particular hour? .140 (b) What is the probability that at most three tickets are given out during a particular hour? 265 (c) What is the probability that at least three tickets are given out during a particular hour? .876 (d) How many tickets do you expect to be given during a 45-min period? .375