Question

Outcome

0
1
5
10
1000
Probability
0.33
0.32
0.24
0.10
0.01

Which is the expected value of the random variable with the given probability distribution?
a.
5.65
c.
12.52
b.
100.44
d.
5

Answer 1

The expected value of the random variable with the given probability distribution = 12 .52

Explanation:

Given data

x : 0 1 5 10 1000

p(x) : 0.33 0.32 0.24 0.10 0.01

The expected value of the given random variable of given probability distribution

E(X) = ∑ x p ( X = x)

E(X) = 0 × 0.33 + 1 × 0.32 + 5 × 0.24 + 10× 0.10 + 1000×0.01

E (X) = 12.52