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

Question

Mathematics

Damion Lara

1 April, 23:31

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

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Answers (2)

Know the Answer?

Libby Calderon · Answer 1

sorry wrong question-

Brian Sheppard · Answer 2

a. 3/4

Step-by-step 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