Question

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)

Homework Answers

Answer #1

** Your question is incomplete/incorrect also i corrected it. check this.

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
A continuous random variable X has the following probability density function F(x) = cx^3, 0<x<2 and...
A continuous random variable X has the following probability density function F(x) = cx^3, 0<x<2 and 0 otherwise (a) Find the value c such that f(x) is indeed a density function. (b) Write out the cumulative distribution function of X. (c) P(1 < X < 3) =? (d) Write out the mean and variance of X. (e) Let Y be another continuous random variable such that  when 0 < X < 2, and 0 otherwise. Calculate the mean of Y.
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
2. Let the probability density function (pdf) of random variable X be given by:                           ...
2. Let the probability density function (pdf) of random variable X be given by:                            f(x) = C (2x - x²),                         for 0< x < 2,                         f(x) = 0,                                       otherwise      Find the value of C.                                                                           (5points) Find cumulative probability function F(x)                                       (5points) Find P (0 < X < 1), P (1< X < 2), P (2 < X <3)                                (3points) Find the mean, : , and variance, F².                                                   (6points)
Let X be a continuous random variable with probability density function (pdf) ?(?) = ??^3, 0...
Let X be a continuous random variable with probability density function (pdf) ?(?) = ??^3, 0 < ? < 2. (a) Find the constant c. (b) Find the cumulative distribution function (CDF) of X. (c) Find P(X < 0.5), and P(X > 1.0). (d) Find E(X), Var(X) and E(X5 ).
6. A continuous random variable X has probability density function f(x) = 0 if x< 0...
6. A continuous random variable X has probability density function f(x) = 0 if x< 0 x/4 if 0 < or = x< 2 1/2 if 2 < or = x< 3 0 if x> or = 3 (a) Find P(X<1) (b) Find P(X<2.5) (c) Find the cumulative distribution function F(x) = P(X< or = x). Be sure to define the function for all real numbers x. (Hint: The cdf will involve four pieces, depending on an interval/range for x....
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.
2. Let X be a continuous random variable with pdf given by f(x) = k 6x...
2. Let X be a continuous random variable with pdf given by f(x) = k 6x − x 2 − 8 2 ≤ x ≤ 4; 0 otherwise. (a) Find k. (b) Find P(2.4 < X < 3.1). (c) Determine the cumulative distribution function. (d) Find the expected value of X. (e) Find the variance of X
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=
Let X be a random variable with probability density function fX(x) = {c(1−x^2)if −1< x <1,...
Let X be a random variable with probability density function fX(x) = {c(1−x^2)if −1< x <1, 0 otherwise}. a) What is the value of c? b) What is the cumulative distribution function of X? c) Compute E(X) and Var(X).
1. Decide if f(x) = 1/2x2dx on the interval [1, 4] is a probability density function...
1. Decide if f(x) = 1/2x2dx on the interval [1, 4] is a probability density function 2. Decide if f(x) = 1/81x3dx on the interval [0, 3] is a probability density function. 3. Find a value for k such that f(x) = kx on the interval [2, 3] is a probability density function. 4. Let f(x) = 1 /2 e -x/2 on the interval [0, ∞). a. Show that f(x) is a probability density function b. . Find P(0 ≤...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT