Binomial Random Variables Question

According to the Mars candy company, 20% of its plainM&M's candies are orange. Assume that the company'sclaim is true. Suppose that you reach into a large bag ofplain M&M's (without looking) and pull out 8 candies. LetX = the number of orange candies you get.

(a) Is the number of orange candies you get independent? (i think its not because what ever you pick on the first try will affect the result of your second pick)

(b) Find and interpret the expected value of X.

(c) Find and interpret the standard deviation ofX.

Idk what to put for B and C

Re: Binomial Random Variables Question

Quote:

Originally Posted by

**asilvester635** According to the Mars candy company, 20% of its plainM&M's candies are orange. Assume that the company'sclaim is true. Suppose that you reach into a large bag ofplain M&M's (without looking) and pull out 8 candies. LetX = the number of orange candies you get.

(a) Is the number of orange candies you get independent? (i think its not because what ever you pick on the first try will affect the result of your second pick)

(b) Find and interpret the expected value of X.

(c) Find and interpret the standard deviation ofX.

Idk what to put for B and C

The answers depend upon what one means by *large bag*

You may want to review the *LAW of LARGE NUMBERS*.

In general, for ordinary binomial distribution:

$\displaystyle \mu=np~\&~\sigma=\sqrt{np(1-p)}$