Question

A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3 over 8. an experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome. Calculate the expected value of the random variable. a. 3 over 4 b. 1 over 3 c. 3 over 8 d. 2 over 3

Answer 1

sorry wrong question-

Answer 2

a. 3/4

Explanation:

The expected value is the sum of each outcome times its probability.

If n is the total number of marbles, then the expected value is:

E = (3/8) (n) + (3/8) (n)

E = 3/4 n