(1 point) The pdf of a continuous random variable X is given by 0 otherwise (a)...

Question

Question

(1 point) The pdf of a continuous random variable X is given by 0 otherwise (a) Find E(X). (b) Find Var(X)

Answer 1

Answer #1

We recognize the give pdf is of exponential distribution (given mea) Pdf is given by()18,0 Pdf: f()e, 0< a, and zero otherwis

Answer 2

Similar Homework Help Questions

3. Consider a continuous random variable X with pdf given by 0, otherwise This is called...

3. Consider a continuous random variable X with pdf given by 0, otherwise This is called the exponential distribution with parameter X. (a) Sketch the pdf and show that this is a true pdf by verifying that it integrates to 1 (b) Find P(X < 1) for λ (c) Find P(X > 1.7) for λ : 1
Suppose X is a continuous random variable having pdf (1+x, -1 < x < 0, f(x)...

Suppose X is a continuous random variable having pdf (1+x, -1 < x < 0, f(x) = { 1 – x, 0 < x <1, lo, otherwise (a) Find E(X2). (b) Find Var(X2).
Let X be a continuous random variable with PDF fx(x)- 0 otherwise We know that given Xx, the rand...

Let X be a continuous random variable with PDF fx(x)- 0 otherwise We know that given Xx, the random variable Y is uniformly distributed on [-x,x. 1. Find the joint PDF fx(x, y) 2. Find fyo). 3. Find P(IYI <x3) Let X be a continuous random variable with PDF fx(x)- 0 otherwise We know that given Xx, the random variable Y is uniformly distributed on [-x,x. 1. Find the joint PDF fx(x, y) 2. Find fyo). 3. Find P(IYI

8. Let X and Y be a random variable with joint continuous pdf: f(x,y)- 0< y...

8. Let X and Y be a random variable with joint continuous pdf: f(x,y)- 0< y <1 0, otherwise a. b. c. Find the marginal PDF of X and Y Find the E(X) and Var(X) Find the P(X> Y)
Let X be a continuous random variable with PDF f(x) = { 3x^3 0<=x<=1 0 otherwise...

Let X be a continuous random variable with PDF f(x) = { 3x^3 0<=x<=1 0 otherwise Find CDF of X FInd pdf of Y
2. A continuous random variable X has PDF SPI? 1€ (-2,2] fx() = 0 otherwise (a)...

2. A continuous random variable X has PDF SPI? 1€ (-2,2] fx() = 0 otherwise (a) Find the CDF Fx (x). (b) Suppose 2 =9(X), where gle) = { " Find the (DF, PDF of

2. A continuous random variable, x, has the following pdf. 0 otherwise Find 110 (a) the...

2. A continuous random variable, x, has the following pdf. 0 otherwise Find 110 (a) the mean, (b) the variance
LI CONTINUOUS DIST Let X be a random variable with pdf -cx, -2<x<0 f(x)={cx, 0<x<2 otherwise...

LI CONTINUOUS DIST Let X be a random variable with pdf -cx, -2<x<0 f(x)={cx, 0<x<2 otherwise where c is a constant. a. Find the value of c. b. Find the mean of X. C. Find the variance of X. d. Find P(-1 < X < 2). e. Find P(X>1/2). f. Find the third quartile.
2. Suppose X is a continuous random variable with the probability density function (i.e., pdf) given...

2. Suppose X is a continuous random variable with the probability density function (i.e., pdf) given by f(x) - 3x2; 0< x < 1, - 0; otherwise Find the cumulative distribution function (i.e., cdf) of Y = X3 first and then use it to find the pdf of Y, E(Y) and V(Y)

For a continuous variable X with the following PDF: 0sxs2 fx (x) = {2' 0, otherwise...

For a continuous variable X with the following PDF: 0sxs2 fx (x) = {2' 0, otherwise (a) Determine the conditional PDF of X given that X>1. (b) Find the conditional CDF of X given that X > 1, and plot the corresponding figure with proper labels. [Note: Both the expression and the plot are required.]