We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
can you solve 1 and 2 please??? 1. Calculate E(Y) and SD(Y) for the random variable...
Define the random variable Y = -2X. Determine the cumulative distribution function (CDF) of Y . Make sure to completely specify this function. Explain. Consider a random variable X with the following probability density function (PDF): s 2+2 if –2 < x < 2, fx(x) = { 0 otherwise. This random variable X is used in parts a, b, and c of this problem.
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)
please show work and explain for my understanding. Suppose that a random variable X has the following pdf: f (x;p) 8px +2(1-P) 0<x<0.5 ; where 0 sps1 0 otherwise where p is simply a constant that has yet to be specified in other words, p is a parameter). For now, we will leave the parameter p an unspecified constant ► Find P(x >0.3) = Note: your answer will be an expression containing p. Suppose that k> 0 is also a...
Question 6 A random variable X has cdf χ20 Plotthe cdf and identif.,(x)-1-0.2~ a) Plot the cdf and identify the type of the random variable. b) Find the pdf of X. c) Calculate P[-4eX<-1], P(xS2], P(X=1], Pf2-K6], and P[X>10]. d) Calculate the mean and the variance of X. If the random variable X passes through a system with the following chara cteristic function: e) f) Find the pdf of Y. Calculate the mean and the variance of Y. Good Luck
Please help me to solve this probability problem. 2. Consider a random variable X with the following PDF f(x) f(x) = for 0s x<1 x, 2-x for 1s XS2 otherwise (a) Consider 6 independent random variables X, X2, X3, X4, X5, Xs with the PDF f(x) given above. What will be the PDF of Y= (X1+X2+ X3+ X4+ Xs* X6) approximately? Explain it. (b) Compute the probability of Y>8.
The random variable X has the following pdf: 2x 0 < x < 1 fx(x) = 0 otherwise Find the s-transform of X, Mx(s) Select one: e-s 1 O a. My(s) = - + S s2 е 1 O b. My(s) = + S 52 52 O c. 1x6) = 2 (6 + 5) O d. 1 My(s) = 2 »=2(+1)
4.4.19 Random variableX has PDE fx(a)-1/4 -1s-33, 0 otherwise Define the random variable Y by Y = h(X)X2. (a) Find E[X and VarX (b) Find h(E[X]) and Eh(X) (c) Find ElY and Var[Y .4.6 The cumulative distribution func- tion of random variable V is 0 Fv(v)v5)/144-5<7, v> 7. (a) What are EV) and Var(V)? (b) What is EIV? 4.5.4 Y is an exponential random variable with variance Var(Y) 25. (a) What is the PDF of Y? (b) What is EY...
Consider the following PDF for a continus random variable f(x) X: 0 x<0,4 Calculate K Calculate P0, 1<x<0,3) Calculate P(X <= 0,2) Calculate E(X) Calculate Var(X) 3,75-Kx®2]
Suppose that a random variable X has the following pdf: 8px+2(1-P) 0<x<0.5., JxX;P) = *; where 0 Sp Si 0 otherwise where p is simply a constant that has yet to be specified in other words, p is a parameter). For now, we will leave the parameter p an unspecified constant ► Find P(X>0.3) = Note: your answer will be an expression containing p. Suppose that k> 0 is also a constant (not yet specified). Find the expected value of...
Problem 1. 15 points] Let X be a uniform random variable in the interval [-1,2]. Let Y be an exponential random variable with mean 2. Assunne X and Y are independent. a) Find the joint sample space. b) Find the joint PDF for X and Y. c) Are X and Y uncorrelated? Justify your answer. d) Find the probability P1-1/4 < X < 1/2 1 Y < 21 e) Calculate E[X2Y2]