Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.9 per year. a. Find the probability that, in a year, there will be 6 hurricanes. b. In a 55-year period, how many years are expected to have 6 hurricanes? c. How does the result from part (b) compare to a recent period of 55 years in which 6 years had 6 hurricanes? Does the Poisson distribution work well here? a. The probability is (Round to three decimal places as needed.) b. The expected number of years with 6 hurricanes is (Round to one decimal place as needed.) c. The result from part (b) is the number of hurricanes in the recent period of 55 years, so the Poisson distribution appear to work well in the given situation.

A county has been experiencing a mean of 33.8 motor vehicle deaths each year. Use the Poisson distribution to answer the following. a. Find the mean number of deaths per day. b. Find the probability that on a given day, there are more than 2 motor vehicle deaths. c. Is it unusual to have more than 2 motor vehicle deaths on the same day? Why or why not? a. The mean number of deaths per day is (Round to three decimal places as needed.)

Can I get help for question B?

Suppose that births in a hospital occur randomly at an average rate of 1.9 births per hour. Assume that the probability of a birth is the same for any two time intervals of equal length. a.    Which distribution can we use in this case? b.    What is the probability that we observe at least 3 births in a 2-hour interval?c.    Suppose that births occur randomly in hospital A and hospital B at an average rate of 2.1 births and 3 births per hour, respectively. What is the probability that we observe 7 births in total from the two hospitals in a 1-hour period?

The average processing time of a kiosk in a McDonald's store is 4.5 minutes, and there are 3 kiosks. The average interarrival time is 2.5 minutes. Suppose the arrival follows a Poisson process, and the processing time follows an exponential distribution. What is the average time a customer waits for using a kiosk?    a. 5.31 minutes   b. 2.19 minutes   c. 1.47 minutes   d. 4.85 minutes

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Suppose the time it takes for guests to wait for an elevator at the lobby of a certain office building has a uniform distribution between 0 and 4 minutes. What is the probability that, the next time you need to take this elevator, you'll have to wait at most 1.6 minutes? (Your answer should be a decimal. Round to 4 decimal places if necessary.)