Answer to Question #183446 in Statistics and Probability for Gwyneth Balete

Question

Random variable X arises from a binomial experiment. Use n=8 and p=60 percent when answering the following:

a. Compute for the mean

b. Compute for the variance

c. Compute for the standard deviation

Answer 1

a.

$$mean=E(X)=np=8(0.6)=4.8$$

b.

$$Var(X)=\sigma^2=np(1-p)=8(0.6)(1-0.6)=$$

$$=1.92$$

c.

$$\sigma=\sqrt{\sigma^2}=\sqrt{1.92}=0.8\sqrt{3}\approx1.3856$$