Binomial Random Variables Question

• Dec 9th 2012, 01:52 PM
asilvester635
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
• Dec 9th 2012, 03:05 PM
Plato
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:
$\displaystyle \mu=np~\&~\sigma=\sqrt{np(1-p)}$