## Poisson Distribution

Calculator Allowed: Yes Question Answer Transcription of this question: 4.[Maximum mark: 71Mr Lee is planning to go fishing this weekend. Assuming that the number Of fishcaught per hour follows a Poisson distribution with mean 0.6, find(a)(b)(c)the probability that he catches at least one fish in the first hour;the probability that he catches exactly three fish […]

## poisson distribution

Calculator Allowed: Yes Question Answer Transcription of this question: 7.[Maximum mark: 81(a)(b)(c)Ahmed is typing Section A Of a mathematics examination paper. The numberOf mistakes that he makes, X , can be modelled by a Poisson distribution withmean 3.2. Find the probability that Ahmed makes exactly four mistakes.His colleague, Levi, is typing Section B Of this […]

## poisson distribution

Calculator Allowed: Yes Question Answer Transcription of this question: 12.[Maximum mark: 151Casualties arrive at an accident unit with a mean rate Of one every 10 minutes.Assume that the number Of arrivals can be modelled by a Poisson distribution.(a)(b)(c)(d)Find the probability that there are no arrivals in a given half hour period.A nurse works for a […]

## poisson distribution

Calculator Allowed: Yes Question Answer Transcription of this question: 7.[Maximum mark: 6]The random variable X follows a Poisson distribution with mean m and satisfies(a)(b)Find the value Of mFor this value Of m ,correct to four decimal places.calculate[4 marks][2 marks]

## poisson distribution

Calculator Allowed: Yes Question Answer Transcription of this question: 12.[Maximum mark: 18]The number Of accidents that occur at a large factory can be modelled by a Poissondistribution with a mean Of 0.5 accidents per month.(a)(b)(c)(d)Find the probability that no accidents occur in a given month.Find the probability that no accidents occur in a given 6 […]

## poisson distribution

Calculator Allowed: Yes Question Answer Transcription of this question: 5.[Maximum mark: 51The random variable X has the distribution Po(m).Given that 5) – -3) +P(X find(a)(b)the value Of m ;[3 marks][2 marks]

## poisson distribution

Calculator Allowed: Yes Question Answer Transcription of this question: 12.[Maximum mark: 221A ski resort finds that the mean number Of accidents on any given weekday (Mondayto Friday) is 2.2. The number Of accidents can be modelled by a Poisson distribution.(a) Find the probability that in a certain week (Monday to Friday only)(i) there are fewer […]

## poisson distribution

Calculator Allowed: Yes Question Answer Transcription of this question: 7.[Maximum mark: 51A fisherman notices that in any hour Of fishing, he is equally likely to catch exactlytwo fish, as he is to catch less than two fish. Assuming the number Of fish caught canbe modelled by a Poisson distribution, calculate the expected value Of the […]

## poisson distribution

Calculator Allowed: Yes Question Answer Transcription of this question: 11.[Maximum mark: 18]The number Of visitors that arrive at a museum every minute can be modelled by aPoisson distribution with mean 2.2.(a)(b)(c)If the museum is open 6 hours daily, find the expected number Of visitors inI day.Find the probability that the number Of visitors arriving during […]

## Poisson distribution

Calculator Allowed: Yes Question Answer Transcription of this question: 9.[Maximum mark: 71A small car hire company has two cars. Each car can be hired for one whole day ata time. The rental charge is IJSS6() per car per day. The number of requests to hire acar for one whole day may be modelled by a […]