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A telemarketer knows that, on average, he is able to make three sales in a 45-minute...

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Statistics

A telemarketer knows that, on average, he is able to make threesales in a 45-minute period. Suppose the number of sales he canmake in a given time period is Poisson distributed.

a) What is the probability that he makes two sales in a 30-minute period?

b )What is the probability that he makes at least two sales in a30-minute period?

c) What is the probability that he makes only one sale in anhour-long period?

Please provide good explanation.

Answer & Explanation Solved by verified expert
4.1 Ratings (602 Votes)
Let X denote the random variable representing number of sales bythe telemarketer in a 30minute periodFor parts a and b consider that fact that the telemarketer onaverage is able to make 3 sales in a 45minute period Thus in a30minute period he on average is able to make 33045 2sales EX 2    See Answer
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