Advertisements
Advertisements
प्रश्न
Define Mathematical expectation in terms of discrete random variable
Advertisements
उत्तर
Let X be a discrete random variable with probability mass function (p.m.f) P(x).
Then, its expected value is defined by E(X) = `sum_x x"p"(x)`
In other words,
If x1, x2, x3,…… xn are the different values of X, and p(x1), p(x2) …..p(xn) are the corresponding probabilities, then E(X) = x1 p(x1) + x2 p(x2) + x3 p(x3) +… xn p(xn)
APPEARS IN
संबंधित प्रश्न
The time to failure in thousands of hours of an electronic equipment used in a manufactured computer has the density function
`f(x) = {{:(3"e"^(-3x), x > 0),(0, "eleswhere"):}`
Find the expected life of this electronic equipment
Choose the correct alternative:
Consider a game where the player tosses a six-sided fair die. If the face that comes up is 6, the player wins ₹ 36, otherwise he loses ₹ k2, where k is the face that comes up k = {1, 2, 3, 4, 5}. The expected amount to win at this game in ₹ is
Choose the correct alternative:
If X is a binomial random variable with I expected value 6 and variance 2.4, Then P(X = 5) is
What are the properties of Mathematical expectation?
Choose the correct alternative:
Which of the following is not possible in probability distribution?
Choose the correct alternative:
A probability density function may be represented by
Choose the correct alternative:
`int_(-oo)^oo` f(x) dx is always equal to
Choose the correct alternative:
A listing of all the outcomes of an experiment and the probability associated with each outcome is called
Prove that V(aX) = a2V(X)
Prove that V(X + b) = V(X)
