SOLUTION: A salesman of small business computer systems will contact 4 customers during a week. Each contact can result in either a sale, with probability 0.2, or no sale, with probability 0
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Question 216491: A salesman of small business computer systems will contact 4 customers during a week. Each contact can result in either a sale, with probability 0.2, or no sale, with probability 0.8. Assume that customer contacts are independent. If X denotes the number of computer systems sold during the week, find the probability distribution of X.
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Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A salesman of small business computer systems will contact 4 customers during a week. Each contact can result in either a sale, with probability 0.2, or no sale, with probability 0.8. Assume that customer contacts are independent. If X denotes the number of computer systems sold during the week, find the probability distribution of X.
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The random variable, X, has the following values: 0,1,2,3,4
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P(0) = (.8)^4
P(1) = 4C1(0.2)(0.8)^3
P(2) = 4C2(0.2)^2(0.8)^2
P(3) =
P(4) = (0.2)^4
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These are the binomial probabilities for your experiment.
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Cheers,
Stan H.
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