Question

The probability density function of the X random variable is given as follows. ?? (?) =...

The probability density function of the X random variable is given as follows.
?? (?) = {?? − ?? ?> 00 ????? ??????????
Since Y = 1-2X, calculate the probability density function of the Y random variable and specify the range in which it is defined.

Homework Answers

Answer #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
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=
Suppose that the probability density function for the random variable X is given by ??(?) =...
Suppose that the probability density function for the random variable X is given by ??(?) = 1/5000 (10? 3 − ? 4 ) for 0 ≤ ? ≤ 10 What is ?(?)? What is ?????(?) Provide the cumulative distribution function for the random variable X.
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 random variable with the probability density function fx(x) given by: fx(x)= 1/4(2-x),...
Let X be a random variable with the probability density function fx(x) given by: fx(x)= 1/4(2-x), 0<x<2 1/4(x-2), 2<=x<4 0, otherwise. Let Y=|X-3|. Compute the probability density function of Y.
X and Y are continuous random variables. Their joint probability density function is given as f(x,y)...
X and Y are continuous random variables. Their joint probability density function is given as f(x,y) = 1/5 (y+2) for 0<y<1 and y-1<x<y+1. Calculate the conditional expectation E(x/y=0). Please show all the work and explain if the answer will be a number or just y in a given range.
Let X be a random variable with probability density function fX (x) = I (0, 1)...
Let X be a random variable with probability density function fX (x) = I (0, 1) (x). Determine the probability density function of Y = 3X + 1 and the density function of probability of Z = - log (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.
Let X be a continuous random variable with a probability density function fX (x) = 2xI...
Let X be a continuous random variable with a probability density function fX (x) = 2xI (0,1) (x) and let it be the function´ Y (x) = e^−x a. Find the expression for the probability density function fY (y). b. Find the domain of the probability density function fY (y).
a) let X follow the probability density function f(x):=e^(-x) if x>0, if Y is an independent...
a) let X follow the probability density function f(x):=e^(-x) if x>0, if Y is an independent random variable following an identical distribution f(x):=e^(-x) if x>0, calculate the moment generating function of 2X+3Y b) If X follows a bernoulli(0.5), and Y follows a Binomial(3,0.5), and if X and Y are independent, calculate the probability P(X+Y=3) and P(X=0|X+Y=3)
Let X denote a random variable with probability density function a. FInd the moment generating function...
Let X denote a random variable with probability density function a. FInd the moment generating function of X b If Y = 2^x, find the mean E(Y) c Show that moments E(X ^n) where n=1,4 is given by: