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Suppose that a recent poll found that of adults believe that the overall state of moral values is poor. Complete
parts (a) through ©.
(a) For 200 randomly selected adults, compute the mean and standard deviation of the random variable , the number of
adults who believe that the overall state of moral values is poor.
The mean of is . (Round to the nearest whole number as needed.)

Ask by Mccarthy Henry. in the United States
Mar 16,2025

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The mean of is .

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Mind Expander

To find the mean of the random variable , you can use the formula for the mean of a binomial distribution, which is given by , where is the number of trials (in this case, 200 adults) and is the probability of success (51% or 0.51).
So, the mean .
Next, to compute the standard deviation of , you use the formula for the standard deviation of a binomial distribution, which is .
Thus, .
Therefore, the mean of is and the standard deviation is approximately when rounded to the nearest whole number.

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