Question

Each customer who arrives at a store might make a purchase (or not) and whether they...

Each customer who arrives at a store might make a purchase (or not) and whether they do does not seem to depend on what anyone else does. Twenty percent of the customers make a purchase. What is the population average and variance for the number of purchases by three customers selected at random?

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Answer #1

Binomial Distribution

n = 3

p = 0.20

q = 1 - p = 0.80

Population average = = np = 3 X 0.20 = 0.60

Population variance = npq = 3 X 0.20 X 0.80 = 0.48

So,

population average = 0.60

population variance = 0.48

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