69% 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.   muμequals=Your answer is correct. You answered 3.45.3.45 ​(Round to two decimal places as​ needed.) Find the variance of the binomial distribution.   sigmaσsquared2equals=Your answer is correct. You answered 1.07.1.07 ​(Round to two decimal places as​ needed.) Find the standard deviation of the binomial distribution.   sigmaσequals=Your answer is correct. You answered 1.03.1.03

Question
69% 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.
 
muμequals=Your answer is correct. You answered 3.45.3.45
​(Round to two decimal places as​ needed.)
Find the variance of the binomial distribution.
 
sigmaσsquared2equals=Your answer is correct. You answered 1.07.1.07
​(Round to two decimal places as​ needed.)
Find the standard deviation of the binomial distribution.
 
sigmaσequals=Your answer is correct. You answered 1.03.1.03
​(Round to two decimal places as​ needed.)
Interpret the results.
 
On​ average, (blank) 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 (blank).
 
.

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