Question

The following table shows the probability distribution for a discrete random variable.

X= 12, 15, 17, 20, 22, 24, 25, 30
P(X)= 0.07, 0.21, 0.17, 0.25, 0.05, 0.04, 0.13, 0.08
What is the mean of this discrete random variable? (That is, what is E(X), the expected value of X?)

Answer 1

For discrete random variables:
\[\large E(X)=\sum_{x}x\cdot p(x)\]

Answer 2

So basically:
\[E(X)=12(0.07)+15(0.21)+\ldots+30(0.08) \]

Answer 3

alright thank you hold on

Answer 4

19.59