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An airline operates a service between Manchester and Paris. The flight time may be modelled by a normal distribution with mean 85 minutes and standard

An airline operates a service between Manchester and Paris. The flight time

may be modelled by a normal distribution with mean 85 minutes and standard deviation

8 minutes. In order to gain publicity for the service, the airline decides to refund fares

when a flight time exceeds q minutes. Find the value of q such that the probability of

fares being refunded on a particular flight is 0.001.

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