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Determining the probability using poisson distribution

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Q1) Number of rescue calls received by rescue squad in city follows a Poisson distribution with mu = 2.83 per day. Squad can handle at most four calls a day.

i) Determine the probability that squad will be able to handle all calls on a particular day?

ii) Squad wishes to have at least 95% confidence of being able to handle all calls received in day. At least how many calls day must the squad be prepared for?

iii) Suppose that squad can handle at most four calls a day, find out the largest value of f.1 that would yield 95% confidence that squad can handle all calls?

Q2) An MBA graduate is appearing for nine jobs, and thinks that she has in each nine cases are constant and independent 0.48 probability of getting offer.

a) Determine  the probability that she will have at least three offers?

b)  If she wishes to be 95% confident of having at least 3 offers, how many more jobs must she apply for? (Suppose each of these additional applications will also have same probability of success.)

c) If there are no more than original nine jobs that she can apply for, find value of probability of success would give her 95% confidence of at least 3 offers?

Reference no: EM1317226

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