8 The number of telephone calls received by an office can be modelled by a Poisson distribution with mean 3 calls per 10 minutes.
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- Find the probability that:
8 - the office receives exactly 2 calls in 10 minutes;
8
- (ii) the office receives more than 30 calls in an hour.
8 - The office manager splits an hour into 6 periods of 10 minutes and records the number of telephone calls received in each of the 10 minute periods.
Find the probability that the office receives exactly 2 calls in a 10 minute period exactly twice within an hour.
8 - The office has just received a call.
8 - Find the probability that the next call is received more than 10 minutes later.
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- (ii) Mahah arrives at the office 5 minutes after the last call was received.
State the probability that the next call received by the office is received more than 10 minutes later.
Explain your answer.
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