2. A continuous random variable, x, has the following pdf. 0 otherwise Find 110 (a) the...
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. 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
(1 point) The pdf of a continuous random variable X is given by 0 otherwise (a) Find E(X). (b) Find Var(X)
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
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
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
A continuous random variable, X, has a pdf given by f(x) = cx2 , 1 < x < 2, zero otherwise. (a) Find the value of c so that f(x) is a legitimate p.d.f. [Before going on, use your calculator to check your work, by checking that the total area under the curve is 1.] (b) Use the pdf to find the probability that X is greater than 1.5. (c) Find the mean and variance of X. Your work needs...
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.]
19. A random variable X has the pdf f(x) = 2/3 0 otherwise if 1 < x 2 (a) Find the median of X. (b) Sketch the graph of the CDF and show the position of the median on the graph.
Let X be a continuous random variable with PDF 4x? 0<xs1 otherwise fulx) = {4 Axsx>Find 3/16 A O 7/26 B O 7/27.CO 6/27.DO ي يمنع الانتقال إلى السؤال التالى إجراء تغييرات على هذه الإجابة