Answer: 12.52
Step-by-step explanation:
To find the expected value, E(X), we will multiply each value of the random variable(outcome) by its probability and add the products.
The formula is given as [tex]E(X)=\sum xP(x)[/tex].
Given table
Outcome 0 1 5 10 1000
Probability 0.33 0.32 0.24 0.10 0.01
[tex]E(X) = 0\times0.33+1\times0.32+5\times0.24+10\times0.10+1000\times0.01\\\\=12.52[/tex]
hence, the expected value of the random variable with the given probability distribution = 12.52
