Question

Please please help!!!! According to the probability distribution below, what is the expected value of X? X 0 1 2 3 4 5 P(X) 0.3 0.2 0.16 0.2 0.04 0.1 A.) The expected value is 0.1 B.) The expected value is 5 C.) The expected value is 2.5 D.) The expected value is 1.78

Answer 1

D.) The expected value is 1.78

Explanation:

i took the test

Answer 2

D.) The expected value is 1.78

Explanation:

The expected value of a probability distribution is evaluated using the formula.

Expected Value,
`E(X)=\sum^(n)_(i=1)x_iP(x_i)`

Therefore, from the given probability distribution, we have:

E(X)=(0*0.3)+(1*0.2)+(2*0.16)+(3*0.2)+(4*0.04)+(5*0.1)

E(X)=1.78

The Expected value of X is 1.78.

The correct option is D.