Eighty-three percent of adults in a certain country believe that life on other planets is plausible. You randomly select five adults and ask them whether they believe that life on other planets is plausible. The random variable represents the number of adults who believe that life on other planets is plausible. Find the​ mean, variance, and standard deviation of the binomial distribution for the random variable. Interpret the results find the mean, variance, and standard deviation

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Asked Nov 27, 2019
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Eighty-three percent of adults in a certain country believe that life on other planets is plausible. You randomly select five adults and ask them whether they believe that life on other planets is plausible. The random variable represents the number of adults who believe that life on other planets is plausible. Find the​ mean, variance, and standard deviation of the binomial distribution for the random variable. Interpret the results

 

find the mean, variance, and standard deviation

 

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Expert Answer

Step 1

The value of mean is 4.15, which is obtained as follows:

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Mean np 5(0.83) 4.15

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Step 2

The value of variance is 0.7055, which is...

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Variance = npq - пр (1- р) =5(0.83)(1-0.83) 0.7055

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