Question

The following table shows the probability distribution for a discrete random variable.
X 13| 16 |17| 21| 23| 25 |26 |31
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

X            |   13  |    16 |   17|    21|    23|    25 |   26 |   31|     |
------------|-----------------------------------------------------------------|.
P(X)       | 0.07 |  0.21| 0.17| 0.25| 0.05|  0.04| 0.13|  0.08   |
------------|-----------------------------------------------------------------|
X.P(X)    | 0.91 |  3.36| 2.89| 5.25| 1.15|  1.00| 3.38|  2.48   |
------------|-----------------------------------------------------------------|

E(X) = ∑(X.P(X) =(0.91+3.36+2.89+ 5.25+ 1.15+ 1.00+ 3.38+  2.48)
  
E(X) = ∑(X.P(X) = 20.42

Pls review the calculation to be on the safe side

Answer 2

Answer: APEX- 20.42

Step-by-step explanation: Multiply 13 by 0.07, multiply 16 by 0.21, and so on. then add up all of the decimals and that is your answer