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1) The average number of text messages received in a day on a smartphone is 15

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1) The average number of text messages received in a day on a smartphone is 15.

(a) Calculate the probability that, in any day, more than 20 messages will be received.

(b) What would the probability be, if it were known that text messages received followed a Poisson distribution?

2) The average time taken to repair a computer is 15 minutes. Use Markov’s inequality to estimate the probability that the repair time will be at least 30 minutes.