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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.
What does the mean of a probability distribution represent?
It is the expected value of a discrete random variable.
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.
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.