SOLUTION: Let be a random variable with the following probability distribution: Value (P(X=x) x of X 10) (0.05) 20) (0.65) 30) (0.05) 40)

Algebra ->  Expressions-with-variables -> SOLUTION: Let be a random variable with the following probability distribution: Value (P(X=x) x of X 10) (0.05) 20) (0.65) 30) (0.05) 40)       Log On


   



Question 155603: Let be a random variable with the following probability distribution:
Value (P(X=x)
x of X
10) (0.05)
20) (0.65)
30) (0.05)
40) (0.20
50) (0.05)
Find the expectation E (X) and variance Var (X) of X.

Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!

V%28X%29=E%28X%5E2%29-E%28X%29%5E2
=
5%2B260%2B45%2B320%2B125=755
V%28X%29=755-%2825.5%29%5E2=104.75
Answer: E%28X%29=25.5 and V%28X%29=104.75