4. [-l9 Points] DETAILS DiEZSTAT4 4.5.038. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The distribution of passenger vehicle speeds traveling on a certain freeway in California is nearly normal with a mean of 72.4 miles/hour and a standard deviation of 4.75 miles/hour. The speed limit on this stretch of the freeway is 70 miles/hour. (a) A highway patrol officer is hidden on the side of the freeway. What is the probability that 5 cars pass and none are speeding? Assume that the speeds of the cars are independent of each other. (Round your answer to four decimal places.) :i (b) On average, how many cars would the highway patrol ofcer expect to watch until the first car that is speeding? (Round your answer to two decimal places.) :l What is the standard deviation of the number of cars he would expect to watch? (Round your answer to two decimal places.) :1 Additional Materials l3 eBook