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.
Could you please show me how you got to the solution. Thank you
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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