1. Question: Use the following information for the following questions. Customers arrive at crusty's pzza company at a rate of 20 per hour. Assume arrivals follow an exponential distribution. What is the probability that the next customer arrives in less than 5 minutes. a. b. c. d. 0.8111 0.7855 0.2145 0.1889 Question 2: using the same scenario above of rate of 20 per hour What is the probability the next customer arrives between 10 and 18 minutes from now. a. b. c. d. 0.3332 0.0000 0.9668 1.0000 Question 3: using the same scenario above of rate of 20 per hour: What is the probability the next customer arrives in 4 minutes or later a. b. c. d. 0.7364 0.2636 0.1889 0.8111 Question 4: The average time it takes to complete a repetitive task is 5 minutes with a standard deviation of 0.5 minutes. The shape of the distribution of times for completion of this task Is not known. What percentage of tasks is expected to take between 4.25 and 5.75 minutes to finish a. b. c. d. 83% 75% 65% 56%