(a) The number of houses sold by an estate agent follows a Poisson distribution, with a mean of 2 per week i Find the probability that in the next 4 weeks the estate agent sells exactly 3 houses. ii Find the probability that in the next 4 weeks the estate agent sells more than 5 houses. Find the probability that in the next 4 weeks the estate agent sells at most 4 houses.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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(a) The number of houses sold by an estate agent follows a Poisson distribution, with a
mean of 2 per week
Find the probability that in the next 4 weeks the estate agent sells exactly 3
houses.
ii Find the probability that in the next 4 weeks the estate agent sells more than 5
houses.
Find the probability that in the next 4 weeks the estate agent sells at most 4
houses.
Transcribed Image Text:(a) The number of houses sold by an estate agent follows a Poisson distribution, with a mean of 2 per week Find the probability that in the next 4 weeks the estate agent sells exactly 3 houses. ii Find the probability that in the next 4 weeks the estate agent sells more than 5 houses. Find the probability that in the next 4 weeks the estate agent sells at most 4 houses.
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