Exam code: 9FM0
The number of calls received by a helpline is modelled by a Poisson distribution with a mean of 2 calls per 5-minute period.
After an advertising campaign, the helpline manager wants to know whether the mean number of calls has increased.
The number of calls received in a randomly chosen 20-minute period is recorded.
Stating your hypotheses clearly, and using a 5% level of significance, find the critical region for a suitable test.
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At a fairground, each spin of a wheel shows WIN with probability , independently of all other spins. A player spins the wheel repeatedly until it shows WIN. The random variable represents the number of spins needed.
State the distribution of .
A player believes that the probability of the wheel showing WIN is actually less than . She spins the wheel repeatedly until it shows WIN, and it takes her 16 spins.
Stating your hypotheses clearly and using a 5% level of significance, carry out a suitable test and state the player's conclusion.
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