Find the mean of the binomial distribution. P= (Round to two decimal places as needed.) Find the variance of the binomial distribution. (Round to two decimal places as needed.) Find the standard deviation of the binomial distribution. 6= (Round to two decimal places as needed.) Interpret the results.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Sixty-two 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.
μ
(Round to two decimal places as needed.)
Find the variance of the binomial distribution.
BECER
(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.)
4
Transcribed Image Text:← Sixty-two 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. μ (Round to two decimal places as needed.) Find the variance of the binomial distribution. BECER (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.) 4
Expert Solution
Step 1

Given that 

n = 5 , p = 62% = 0.62 , q = 1 - p = 1 - 0.62 = 0.38

X ~ Binomial ( n = 5 , p = 0.62 )

p = Probability of adults in a certain country believe that life on other planets is plausible

X = Number of adults in a certain country believe that life on other planets is plausible.

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