Statistics Chapter 4

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4 Terms

1
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Is the expected value of the probability distribution of a random variable always one of the possible values of​ x? Explain.

No, because the expected value may not be a possible value of x for one​ trial, but it represents the average value of x over a large number of trials.

2
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What does the mean of a probability distribution​ represent?

It is the expected value of a discrete random variable.

3
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Determine whether the statement is true or false. If it is​ false, rewrite it as a true statement.

In most​ applications, continuous random variables represent counted​ data, while discrete random variables represent measured data.

False. In most​ applications, discrete random variables represent counted​ data, while continuous random variables represent measured data.

4
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In a binomial​ experiement, what does it mean to say that each trial is independent of the other​ trials?

Each trial is independent of the other trials if the outcome of one trial does not affect the outcome of any of the other trials.