please use R for calculations if possible!

(1 point) The number of customers who use a drive-thru automated teller machine (ATM) varies from one hour to the next with an average rate of 6.22 customers every 15 minutes. PART A A random variable A is to measure the number of customers who use this drive-thru ATM in a 15-minute interval. What is the probability that between 8 and 12 customers (inclusive) use this ATM in a given 15-minute interval? Answer: 0.2752317 #: (round to at least four decimals if necessary) PART B What is the probability that the duration of time passing between successive customers using this ATM is between 2 and 5 minutes? Answer: (round to at least four decimals if necessary) PART C A customer has just driven away from this ATM and there are no vehicles in line behind that car. If at least 4 minutes pass until the next customer enters the drive-thru ATM line, what is the probability that in total, no more than 10 minutes pass until the next customer enters the drive-thru ATM line? Answer: (round to at least four decimals if necessary) PART D Over the course of a five-day week, 39 non-overlapping 15-minute intervals were randomly chosen and the number of customers using the drive-thru ATM is to be observed in each of these 15-minute intervals. What is the probability that the average number of customers using the drive-thru ATM in these 39 15-minute intervals will be between 5.82 and 7.02 customers? Answer: (round to at least four decimals if necessary)