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).
Using λ = 0.6 and a suitable approximating distribution, find the probability that there will be more than 10 accidents in 30…
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.…
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…
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…
Find the probability that, in a randomly chosen match, the team scores at least 5 goals.
Find the probability that the total number of lemon and orange sweets in the bag is less than 4.
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…
A bus station has exactly four entrances. In the morning the numbers of passengers arriving at these entrances during a 10-second…
The average number of sales per hour is 1.2. Assume now that a Poisson distribution is a suitable model. Find the probability…
A random variable X has the distribution B(4500000, 1000000). Use a Poisson distribution to calculate an estimate of P(X≥ 4).
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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