Cars arrive at an inspection station according to a Poisson distribution at a rate of 10 cars per hour ( = 10). With probability of 0.5, a car will pass inspection. a. What is the expected number of cars to arrive at the inspection station in 1 hour? What is the expected number of cars to arrive in a 3 hour period?

What is the probability that at most (less than or equal to) 15 cars will arrive in the 1 hour time period? Write out the theoretical form and use R to compute a numeric value. c. What is the probability that at most 45 cars will arrive in the 3 hour time period? Write out the theoretical form and use R to compute a numeric value. d. Assume cars are independent of one another. What is the probability that 10 cars will arrive in a 1 hour time period AND all 10 will pass inspection. Write out the theoretical form and use R to compute a numeric value

I need the answer of Part D. Thank you!