Question

Outcome

10
1
2
3
Probability
0.25
0.25
0.25
10.25
Which is the expected value of the random variable with the given probability distribution?
0
C.
b. 1
d. 2.
a.
1.5
Please select the best answer from the choices provided
B
Ο Ο Ο Ο
Kō

Answer 1

The expected value of the random variable is 4.

Step-by-step explanation:

The expected value of a random variable can be found by multiplying each possible outcome by its corresponding probability and summing them up. In this case, the possible outcomes are 10, 1, 2, and 3, with probabilities of 0.25, 0.25, 0.25, and 0.25 respectively. So, the expected value can be calculated as:

(10 x 0.25) + (1 x 0.25) + (2 x 0.25) + (3 x 0.25) = 2.5 + 0.25 + 0.5 + 0.75 = 4

Therefore, the expected value of the random variable is 4.