SOLUTION: Please help with this homework problem ASAP!!! 16% of Americans never have time to relax. You random sample 400 and count the number X that never have enough time to relax. 1) Th

Algebra ->  Probability-and-statistics -> SOLUTION: Please help with this homework problem ASAP!!! 16% of Americans never have time to relax. You random sample 400 and count the number X that never have enough time to relax. 1) Th      Log On


   



Question 367154: Please help with this homework problem ASAP!!!
16% of Americans never have time to relax. You random sample 400 and count the number X that never have enough time to relax.
1) The mean of X is?
2)The Standard deviation of X is?
3) The probability that X is at least 80?
I answered:
1) 64
2) 3.46
3) about 0.0078
Is this correct?

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
This is a binomial distribution.
1) correct
.
2)standard deviation = sqrt(n*p*(1-p))
=sqrt(400*.16*.84)
=7.33
.
3).0194 Binomial distribution probability calculator. http://stattrek.com/Tables/Binomial.aspx
.
Ed