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A market researcher selects 10 customers at random to participate in a wine-tast

ID: 2926750 • Letter: A

Question

A market researcher selects 10 customers at random to participate in a wine-tasting test. Each customer is blindfolded and asked to take a drink out of each of two glasses, one containing an expensive wine and the other containing a cheap wine. The customers are then asked to identify the more expensive wine. If the customers have no ability whatsoever to discern the more expensive wine, what is the probability that the more expensive wine will be correctly identified by no more than four of the customers?

What probability distribution do we use?

What is the type of random variable?

What is the sample size (n)?

What is the probability of any one person being able to identify the expensive wine(p)? (show in 2 decimal format = .00)

Explanation / Answer

Let X is a ranodm variable shows the number of customers out of 10 who correctly identified expensive wine. Since there are only two types of wine so probability that a cutomer correctly indentified the expensive wine is

p = 0.5

What probability distribution do we use?

Here binomial distribution will be used.

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What is the type of random variable?

Binomial random variable

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The sample size is n=10

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The probability of any one person being able to identify the expensive wine(p) is

p = 0.50

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