Researchers believe that 70% of all Americans believe in God. Let X equal the number of...
Researchers believe that 70% of all Americans believe in God. Let X equal the number of people that believe in God out of 40 Americans. Find the mean and standard deviation of X.
Homework Answers
Researchers belive that 70% of all Americans belive in God.
Hence p=70%=0.7
Now we take random sample of 40
Hence n=40
And X equal the number of people belive in god.
So X~B(n=40,p=0.7)
This is binomial distribution with n=40 and p=0.7
Mean =np =40*0.7=28
Mean of X = 28
Standard deviation of X is √(npq)=√8.4=2.898
Standard deviation of X = 2.898=2.9
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