Advertisements
Advertisements
प्रश्न
How do you defi ne variance in terms of Mathematical expectation?
Advertisements
उत्तर
The variance of X is defined by
Var(X) = `sum[x - "E"("x")]^2 "p"(x)`
If X is discrete random variable with probability mass function p(x).
Var(X) = `int_-oo^oo [x - "E"("X")]^2 "f"_x (x) "d"x`
If X is continuous random variable with probability density function fx (x).
APPEARS IN
संबंधित प्रश्न
If µ and σ2 are the mean and variance of the discrete random variable X and E(X + 3) = 10 and E(X + 3)2 = 116, find µ and σ2
The probability density function of the random variable X is given by
`f(x) = {{:(16x"e"^(-4x), x > 0),(0, x ≤ 0):}`
find the mean and variance of X
Choose the correct alternative:
If P(X = 0) = 1 – P(X = 1). If E[X] = 3 Var(X), then P(X = 0) is
In investment, a man can make a profit of ₹ 5,000 with a probability of 0.62 or a loss of ₹ 8,000 with a probability of 0.38. Find the expected gain
Define Mathematical expectation in terms of discrete random variable
State the definition of Mathematical expectation using continuous random variable
Choose the correct alternative:
Value which is obtained by multiplying possible values of a random variable with a probability of occurrence and is equal to the weighted average is called
Choose the correct alternative:
E[X – E(X)] is equal to
Choose the correct alternative:
If p(x) = `1/10`, x = 10, then E(X) is
Choose the correct alternative:
An expected value of a random variable is equal to it’s
