HELP WITH FINITE

Question

A box contains 2 red marbles, 3 blue marbles, 4 green marbles, and 5 yellow marbles. An experiment consists of drawing a marble from the box, noting its color, and replacing the marble in the box. If the experiment is repeated independently 168 times, what is the expected number of times a red marble is selected?

Answer 1

Prob( RED) = 2/14 = 1/7

1/7 * 168 = 24

Answer 2

The probability of a red marble at each draw is 1/7, i.e. 2 out of 14.

The expectation in this case is the mean of the binomial distribution function

with n=168 and p=1/7,

i.e. 168*(1/7).