Let X be a random variable with the following probability distribution. Value x of X P(X=x) 01 0.35 10 0.05 20 0.50 30 0.10 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (x) = 0 %3D (b) Find the variance Var(X) of X. Var(x) = 0 %3D Explanation Check

A random variable X has the probability function as given in the table below.  It is easy to verify that the expected value is 12.  Find the variance of X  X     P(X) 6     .25 12    .50 18   .25

Let X be a random variable with the following probability distribution. Value  x  of  X P(X=x) 0 0.25 10 0.20 20 0.10 30 0.35 40 0.10 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation  E (X) of X .   E(X)=   (b) Find the variance Var (X)of X.   Var (X)=

Let X be a random variable with the following probability distribution.

Let X be a random variable with the following probability distribution. Value X of X P(X=x) 30 Continue 40 50 60 70 80 0.15 0.25 0.20 0.10 0.15 0.15 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (X) = (b) Find the variance Var(X) of X. Var(x) = 0 O S

Let X be a random variable with the following probability distribution. Value x of X P(X=x) 10 20 30 40 50 0.10 0.30 0.20 0.25 0.15 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (X) = 0 (b) Find the variance Var(X) of X. Var(x) =

Let X be a random variable with the following probability distribution. Value x of X P(X=x) 2 0.05 3 0.05 4 0.05 5 0.85 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E(X) of X. E (X) = 0 (b) Find the variance Var(X) of X. Var(x) = ☐ Check B X G

statistic

Given the random variable X and its probability density function​ below, find the​ mean, variance, and standard deviation of X.   X ​Pr(X) 0 0.3 3 0.7     Mean​ =   Variance​ =   Standard Deviation​ =

Let X be a random variable with the following probability distribution. Value x of X P(X=x) 3 4 5 5.0 6 0.10 0.05 0.40 0.45 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (X) = 0 (b) Find the variance Var(X) of X. Var(x) = 0