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Poisson distribution

Question 11 pts

It has been observed that the average number of traffic accidents requiring medical assistance on the Hollywood Freeway between 7 and 8 PM on Wednesday mornings is 1. What, then, is the chance that there will be a need for exactly 2 ambulances on the Freeway, during that time slot on any given Wednesday morning? The hospital dispatcher needs to know.

Round your answer to the nearest thousandth.

Flag this QuestionQuestion 21 pts

A life insurance salesman sells on the average 3 life insurance policies per week. Assume that the number of policies per week follows the Poisson distribution and to calculate the probability that in a given week he will sell two or more policies. Round your answer to the nearest thousandth.

Flag this QuestionQuestion 31 pts

Dutchess County, New York, has been experiencing a mean of 35.4 motor vehicle deaths each year. Find the probability that on a given day, there are more than 2 motor vehicle deaths.

Round your answer to the nearest ten thousandth.

Flag this QuestionQuestion 41 pts

Radioactive atoms are unstable because they have too much energy. When they release their extra energy, they are said to decay. When studying cesium-137, a nuclear engineer found that over 365 days, 1,000,000 radioactive atoms decayed to 977,287 radioactive atoms. Assuming that the decay follows the Poission distribution, find its variance. Round your answer to the nearest tenth.