In a call center that stays open all the time, calls arrive as a Poisson process with a mean rate of 0.3 complaints per hour. (a)  After receiving a call (the 1st call), what is the probability that the 51st call arrives within 150 hours? (b)  After receiving a call, what is the probability that the next call arrives after 2 hours (c)  The number of calls received each day is recorded for 50 consecutive days. Find the probability that the sum of these 50 numbers is less than 356.

The number of forklift topples in an area follows a poisson-process with rate 3 accidents per week. Suppose that we observed one forklift topple in the first week. What is the probability that we will observe at most one forklift topples in the next 2 days?

Assume that when human resource managers are randomly selected, 46% say job applicants should follow up within two weeks. If 13 human resource managers are randomly selected, find the probability that fewer than 3 of them say job applicants should follow up within two weeks. The probability is (Round to four decimal places as needed.)

The probability that a randomly selected 5​-year-old male chipmunk will live to be 6 years old is 0.97008. ​(a) What is the probability that two randomly selected 5​-year-old male chipmunks will live to be 6 years​ old?

In a 24-hour call center, complaints arrive at a mean rate of 1 complaint every 3 hours. (a) Find the probability that there are at most 3 complaints in the past 10 hours. (b) A day is “doomed” if there are at least 6 complaints. Each day, an inspector counts the number of complaints at the end of the day and determines whether the day was doomed. Find the probability that the inspector has worked for 7 days when he records the 3rd doomed day. (c)  Find the probability that there are at least 2 complaints in the past 12 hours given that there are at most 5 complaints in the past 12 hours

Assume that when adults with smartphones are randomly selected, 53% use them in meetings or classes. If 10 adult smartphone users are randomly selected, find the probability that at least 3 of them use their smartphones in meetings or classes. The probability is 0.0905 (Round to four decimal places as needed.)

Assume that when adults with smartphones are randomly selected, 38% use them in meetings or classes. If 8 adult smartphone users are randomly selected, find the probability that exactly 2 of them use their smartphones in meetings or classes. (... The probability is (Round to four decimal places as needed.)