Question

Find E(X),Var(X),σ(X) if a random variable x is given by its density function f(x), such that...

Find E(X),Var(X),σ(X) if a random variable x is given by its density function f(x), such that f(x)=0, if x≤0 f(x)=2x5, if 0<x≤1 f(x)=0, if x>1

Homework Answers

Answer #1

Answer:

Given that:

Find E(X),Var(X),σ(X) if a random variable x is given by its density function f(x), such that f(x)=0, if x≤0 f(x)=2x^5, if 0<x≤1 f(x)=0, if x>1

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let X be a random variable with probability density function given by f(x) = 2(1 −...
Let X be a random variable with probability density function given by f(x) = 2(1 − x), 0 ≤ x ≤ 1,   0, elsewhere. (a) Find the density function of Y = 1 − 2X, and find E[Y ] and Var[Y ] by using the derived density function. (b) Find E[Y ] and Var[Y ] by the properties of the expectation and the varianc
The density function of random variable X is given by f(x) = 1/4 , if 0...
The density function of random variable X is given by f(x) = 1/4 , if 0 Find P(x>2) Find the expected value of X, E(X). Find variance of X, Var(X). Let F(X) be cumulative distribution function of X. Find F(3/2)
Find the expected value E(X), the variance Var(X) and the standard deviation σ(X) for the density...
Find the expected value E(X), the variance Var(X) and the standard deviation σ(X) for the density function. (Round your answers to four decimal places.) f(x) = ex on [0, ln 2] E(X) =    Var(X) = σ(X) =
Find the expected value E(X), the variance Var(X) and the standard deviation σ(X) for the density...
Find the expected value E(X), the variance Var(X) and the standard deviation σ(X) for the density function. (Round your answers to four decimal places.) f(x) = ex on [0, ln 2] E(X) = Var(X) = σ(X) =
Find the expected value E(X), the variance Var(X) and the standard deviation σ(X) for the density...
Find the expected value E(X), the variance Var(X) and the standard deviation σ(X) for the density function. (Round your answers to four decimal places.) f(x) = e^x on [0, ln 2]?
The random variable X has a probability density function f(x) = e^(−x) for x > 0....
The random variable X has a probability density function f(x) = e^(−x) for x > 0. If a > 0 and A is the event that X > a, find f XIA (xlx > a), i.e. the density of the conditional distribution of X given that X > a.
7. Suppose that random variables X and Y have a joint density function given by: f(x,...
7. Suppose that random variables X and Y have a joint density function given by: f(x, y) = ? + ? 0 ≤ ?≤ 1, 0 ≤ ? ≤ 1 (a) Find the density functions of X and Y, f(x) and f(y). (b) Find E[X] and Var(Y).
Let the probability density function of the random variable X be f(x) = { e ^2x...
Let the probability density function of the random variable X be f(x) = { e ^2x if x ≤ 0 ;1 /x ^2 if x ≥ 2 ; 0 otherwise} Find the cumulative distribution function (cdf) of X.
Probability density function of the continuous random variable X is given by f(x) = ( ce...
Probability density function of the continuous random variable X is given by f(x) = ( ce −1 8 x for x ≥ 0 0 elsewhere (a) Determine the value of the constant c. (b) Find P(X ≤ 36). (c) Determine k such that P(X > k) = e −2 .
1. f is a probability density function for the random variable X defined on the given...
1. f is a probability density function for the random variable X defined on the given interval. Find the indicated probabilities. f(x) = 1/36(9 − x2);  [−3, 3] (a)    P(−1 ≤ X ≤ 1)(9 − x2);  [−3, 3] (b)    P(X ≤ 0) (c)    P(X > −1) (d)    P(X = 0) 2. Find the value of the constant k such that the function is a probability density function on the indicated interval. f(x) = kx2;  [0, 3] k=
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT