Question

If a random variable x assumes the values 0,1 and 2 with probabilities 0.30,0.50 and 0.20, then its expected value is

(A) 1.50
(B) 3
(C) 0.90
(D) 1

Answer 1

The expected value of a random variable x that assumes the values 0, 1, and 2 with probabilities 0.30, 0.50, and 0.20 is 0.90, which is option (C).

Step-by-step explanation:

If a random variable x assumes the values 0, 1, and 2 with probabilities 0.30, 0.50, and 0.20 respectively, then the expected value

E(x) is calculated by multiplying each value of x by its corresponding probability and then summing these products. The calculation is as follows:

• E(x) = (0 × 0.30) + (1 × 0.50) + (2 × 0.20)
• E(x) = 0 + 0.50 + 0.40
• E(x) = 0.90

So, the expected value of the given random variable is 0.90, which corresponds to option (C).