Eighty-one 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 of the binomial distribution. u= (Round to two decimal places as needed.) Find the variance of the binomial distribution. o2 = (Round to two decimal places as needed.) Find the standard deviation of the binomial distribution. 0= (Round to two decimal places as needed.) Interpret the results. On average, out of every 5 adults in the country believe that life on other planets is plausible. In most samples of 5 adults, the number of adults who think life on other planets is plausible would differ from the mean by no more than (Type integers or decimals rounded to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 16HP
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Eighty-one 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 of the binomial distribution.
u= (Round to two decimal places as needed.)
Find the variance of the binomial distribution.
o2 = (Round to two decimal places as needed.)
Find the standard deviation of the binomial distribution.
(Round to two decimal places as needed.)
Interpret the results.
On average, out of every 5 adults in the country believe that life on other planets is plausible. In most samples of 5 adults, the number of adults who think life on other planets is plausible would differ from the mean by no more than
(Type integers or decimals rounded to two decimal places as needed.)
Transcribed Image Text:Eighty-one 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 of the binomial distribution. u= (Round to two decimal places as needed.) Find the variance of the binomial distribution. o2 = (Round to two decimal places as needed.) Find the standard deviation of the binomial distribution. (Round to two decimal places as needed.) Interpret the results. On average, out of every 5 adults in the country believe that life on other planets is plausible. In most samples of 5 adults, the number of adults who think life on other planets is plausible would differ from the mean by no more than (Type integers or decimals rounded to two decimal places as needed.)
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