Fill in the blanks in the following question:
Let X be a random variable taking values x₁, x₂,..., x_n with probabilities p₁, p₂, ..., p_n, respectively. Then var (X) =

Question

Fill in the blanks in the following question: Let X be a random variable taking values x 1 , x 2 ,..., x n with probabilities p 1 , p 2 , ..., p n , respectively. Then var (X) =

Philoid · Accepted Answer

var(X) = E(X²) – [E(X)]² , where E(X) represents mean or expected value for random variable X

Variance is nothing but the mean of deviation of Random variable from its expected value.

Var(X) = ∑p_i(X_i – X)².

On expanding we get the formula: var(X) = E(X²) – [E(X)]²

Note: You can remember this formula it is a direct formula question.

Fill in the blanks in the following question:Let X be a random variable taking values x1, x2,..., xn with probabilities p1, p2, ..., pn, respectively. Then var (X) =

Fill in the blanks in the following question:
Let X be a random variable taking values x₁, x₂,..., x_n with probabilities p₁, p₂, ..., p_n, respectively. Then var (X) =