A shop sells a particular make of radio at a rate of four per week on average.

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A shop sells a particular make of radio at a rate of four per week on average. The number sold in a week has a Poisson distribution.

(a) Find the probability that the shop sells at least two in a week.

(b) Find the smallest number that can be in stock at the beginning of a week in order to have at least a 99% chance of being able to meet all demands during that week. (L)

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