9709 · topic questions
The Poisson distribution
12 past-paper questions on The Poisson distribution
The random variable X has the distribution Po(200). Use a suitable approximating distribution to find P(X > 205).
Practise the full question →Using λ = 0.6 and a suitable approximating distribution, find the probability that there will be more than 10 accidents in 30…
Practise the full question →An inspector waits at desk B. She wants to wait long enough to be 90% certain of seeing at least one customer arrive at the desk.…
Practise the full question →The random variable Y has the distribution Po(λ), where λ > 0. It is given that 2/5 P(Y = 3) + P(Y = 4) = P(Y = 5). Find the…
Practise the full question →Rita models the number of sightings, Y, per year of a different, very rare, kind of bird by the distribution B(365, 0.01). Use a…
Practise the full question →Find the probability that, in a randomly chosen match, the team scores at least 5 goals.
Practise the full question →Find the probability that the total number of lemon and orange sweets in the bag is less than 4.
Practise the full question →It is known that 1% of houses in a certain area have a wind turbine. A random sample of 400 houses in this area is chosen for a…
Practise the full question →A bus station has exactly four entrances. In the morning the numbers of passengers arriving at these entrances during a 10-second…
Practise the full question →The average number of sales per hour is 1.2. Assume now that a Poisson distribution is a suitable model. Find the probability…
Practise the full question →A random variable X has the distribution B(4500000, 1000000). Use a Poisson distribution to calculate an estimate of P(X≥ 4).
Practise the full question →The numbers of customers arriving at service desks A and B during a 10-minute period have the independent distributions Po(1.8)…
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The Poisson distribution (9709) past-paper questions — marked instantly
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