** all these questions are given without real numbers, you can answer them by using your own choice of numbers if you'd like (just specify "let mu = ").
1) if you were given an exponential X, uniform Z, and it is defined that Y=X+Z , and X and Z are independent, how would you find Var[Y] ?
2) if you are given a Gaussian random variable X with a specified mu and sigma, how would you find the probability that X is greater than some value ? (use phi)
3) if you are given a Gaussian random variable through an equation, how would you solve for for E[x^2] ?
** all these questions are given without real numbers, you can answer them by using your own choi...
You are given three independent random variables X, Y, and Z, all distributed exponentially, such that the hazard rate of X is Ax, the hazard rate of Y is ly, and the mean of Z is 4. You are also given that E (Y + Z) = Var (Y - X) and Var (X + Y + 2) = 3E (2Y + Z). Find dy - dx. Possible Answers A -0.05 D 10.05 20.09
info here is given to help solve #3 below this photo: You may use any computer software of your choice to complete this assignment Random variables from the four probability distributions given may be generated as follows 1. A standard uniform random variable, U in the interval (0,1), i.e., U ~ U (0,1), may be generated using the Matlab function 'rand'. The corresponding uniform random variable, X in the interval (-1,1) may be obtained as X 2U 1 2. A...
You are given that the random variable X is exponential with a mean of 1, and that the random variable Y is uniformly distributed on the interval (0, 1). Furthermore, it is known that X and Y are independent. Find the density of the joint distribution of U = XY and V = X/Y.
if you can answer any of these i’d would appreciate it greatly 1. List the reasons why the expectation and the variance are used as measures of the center and the spread of a probability distribution. 2. The random variable Z in Table 8.4 takes the values 3000 and 4000 with probability of 0.5. Compute MAD(2) and StDev(z). State in words why MAD(Z) and StDev(2) take the values that they do. 3. As an alternative to the expectation, one could...
Show all work! Thank you! kxk-1 4.34 Given the pdf for X is f(x)= 10 0<x<1 otherwise determine E[X] and Var[X]. 1 0<x<1 4.35 Given the pdf for X is f(x)=x. determine E[X] and Var[X]. 10 otherwise' Sections 4.5-4.8 A<x<B 4.36 Given a random variable with pdf f(x)= B-A , determine the MGF for this random variable. 10 otherwise so x50 4.37 Given a random variable with pdf f(x)= betx 0<x , determine the MGF for this random variable. '...
CAN YOU PLEASE ANSWER ALL THE QUESTIONS FOR ME I WILL GIVE YOUR ANSWER A LIKE 1. (8 points) Let r(0) = k tan o be a curve defined in polar coordinates, where k is a nonzero real constant. Find the correct formula for " dy dx 2. (10 points) Given below are the graphs of two functions y = f(x) and y = g(x). Use the graphs to find the indicated value. y = f(x) y = g(x) WN...
14. Spousal Insurance Policies. Consider two alternatives insuring the lives of two part ners: ( individual policies for each spouse paying 2 at each death time (so buy 2 individ- ual policies). (ii) a spousal policy that pays B when the first spouse dies. The present values of () and (i) are zX+2RY and Z2 - Be-r, respectively, where X and Y are the remaining lifetimes of the two insureds (in years), T min(X, Y) is the first death time...
can you please answer all of them please need it for a review F(x y, z) = 6x over the rectangular solid in the first octant bounded by the coordinate planes and the planes X-9, y-3, 2-S 27 1458 162 243 Find the center of mass of a thin triangular plate bounded by the coordinate axes and the line x + y = 4 if o(x, y) = x + y. 5 5 -3.73 . Oz Find the center of...
[2] [3] (5) (a) A soccer squad contains 3 goalkeepers, 7 defenders, 9 midfielders and 4 forwards. (i) In how many ways can a team of 1 goalkeeper, 4 defenders, 4 midfielders, and 2 attackers be chosen from this squad? (ii) Two of the defenders refuse to play together. In how many ways can a team be chosen that contains at most one of these two defenders? (b) Let p and q be real numbers. A random variable X has...
IT Review JAVASCRIPT (Can someone please help me answer the below questions. It would be nice if you add comments explaining what you are doing? If unable to add comments the answer would be fantastic. Thank you. Given the following function definition: function percent(x) { return x / 100; } Which of the following statements correctly calls the percent function: percent(10); percent: 10; percent(); percent = 10; Indicate whether each of the following evaluates to true or false, given...