Question

WILL MEDAL AND FAN AND PROMOTE!!!!!!! The probability distribution of x, a discrete random variable, is given in the table. What is the expected value of x?

x Probability
0 0.2
1 0.1
2 0.4
3 0.2
4 0.1

Answer 1

Expected value of a discrete random variable is:
E(X) = ∑ XiPi

E(X) = 0(0.2) + 1(0.1) + 2(0.4) + 3(0.2) + 4(0.1)
E(X) = 0 + 0.1 + 0.8 + 0.6 + 0.4
E(X) = 1.9

In short, Your Answer would be 1.9

Hope this helps!

Answer 2

Answer: Hence, the expected value of x is 1.9.

Explanation:

Since we have given that

x Probability

0 0.2

1 0.1

2 0.4

3 0.2

4 0.1

So, The expected value of x is given by

`E(x)=\sum xp(x)\\\\E(x)=0* 0.2+1* 0.1+2* 0.4+3* 0.2+4* 0.1\\\\E(x)=0+0.1+0.8+0.6+0.4\\\\E(x)=1.9`

Hence, the expected value of x is 1.9.