A retailer of electronic equipment received six DVD players from the manufacturer. Three of the DVD...

A retailer of electronic equipment received six DVD players from the manufacturer. Three of the DVD players were damaged in the shipment. The retailer sold two DVD players to two customers. Consider the problem of calculating the probability that the customers receive damaged DVD players. [2] Can a binomial distribution be used for the solution of the above problem? Why or why not? [1] What kind of probability distribution can be used to solve this problem? [1] What is the probability that both customers received damaged DVD players? [1] What is the probability that only one of the two customers received a defective DVD player?

Expert Solution

Can a binomial distribution be used for the solution of the above problem?

Here sampling is done without replacement and population size is also small so binomial distribution cannot be used.

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What kind of probability distribution can be used to solve this problem?

Hyper geometric distribution

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What is the probability that both customers received damaged DVD players?

Let X is a random variable shows the number of damaged players out of 2 sold. Here we need to find the probability that 2 out of 2 DVD players are damaged. The probability that both customers received damaged DVD players is

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What is the probability that only one of the two customers received a defective DVD player?

The probability that both customers received good DVD players is

By the complement rule the probability that only one of the two customers received a defective DVD player is

1 - P(X=0) - P(X=2) = 1 - 0.2 -0.2 = 0.6

orchestra answered 2 years ago

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