I couldn't seem to figure out 3e) if that and question 6 could be answered that would be amazing!

ti. Cars pass through the automated car wash at the Shell on IIEarling Avenue at a rate of 6 cars per hour. The rate at which they pass through the car wash follows a Poisson distribution. You must dene a new random variable as appropriate throughout this question. a. Find the probability that exactly 5 cars pass through the car wash in an hour. b. Assuming that the automated car wash at the gas station is open 13 hours a day, what is the expected number of cars that pass through the car wash in a given day? 1What is the standard deviation for this 13 hour day? s. Joe is supposed to keep an eye on every car that goes through the car wash. As luck would have it, he is the only one working on Saturday aemoon. If he needs to take a 12 minute break, what is the probability that he misses seeing at least one car go through the car wash? 3. Suppose the score on an IQ test follows a normal distribution with mean l and standard deviation 15. Let X be the IQ score of a randome selected person. a. What is the probabin that a randomly selected person has an IQ of ll'? b. What is the probability that a randomly selected person has an IQ between 115 and 13!]? c. Would it be unusual for a person to have an IQ less than till? Explain. d. What It) score represents the lth percentile of all IQ scores? e. Suppose that on another planet the IQ of a creattn'e {may not be human} 1\" follows the normal distribution. The probability that I' exceeds 3D is 0.9\"?5. and the probability that I" exceeds 12!] is [1.95. Find it and o. Are these values comparable with the expected IQ of a human? Explain