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Suppose that a random variable X has the following pdf: 8px+2(1-P) 0<x<0.5., JxX;P) = *; where...
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...
SHOW ALL WORK ANSWER ALL PARTS Suppose that a random variable X has the following pdf. 2(1-2) 0.5 SX < 1 0 otherwise where p is simply a constant that has yet to be specified (in other words, p isa parameter). For now, we will leave the parameter p an unspecified constant Find P(X>08) 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 the random...
(1) Suppose the pdf of a random variable X is 0, otherwise. (a) Find P(2 < X < 3). (b) Find P(X < 1). (e) Find t such that P(X <t) = (d) After the value of X has been observed, let y be the integer closest to X. Find the PMF of the random variable y U (2) Suppose for constants n E R and c > 0, we have the function cr" ifa > 1 0, otherwise (a)...
Suppose the random variable X has probability density function (pdf) - { -1 < x<1 otherwise C fx (x) C0 : where c is a constant. (a) Show that c = 1/7; (b) Graph fx (х); (c) Given that all of the moments exist, why are all the odd moments of X zero? (d) What is the median of the distribution of X? (e) Find E (X2) and hence var X; (f) Let X1, fx (x) What is the limiting...
PLEASE SOLVE FULLY WITH NEAT HANDWRITING AND STATE THE FINAL ANSWER IN A BOX!!!!! Suppose that the density (pdf) function for a random variable X is given by f(X) = _ for 0 SX the probability P(0.5 1)? Round your answer to four decimal places. 2 and f(x)-0 otherwise. What is Suppose that the density (pdf) function for a random variable X is given by f(X) = _ for 0 SX the probability P(0.5 1)? Round your answer to four...
Suppose the random variable X has PDF fX(x) = 3x2 when 0 < x < 1 and zero otherwise. What is the PDF of Y = 2X+3? a.Use the general method: Find the CDF of X and use it to get the PDF of Y b.Use a short-cut.
2. Let X be a continuous random variable with pdf f(x) = { cr", [w] <1, f() = 0. Otherwise, where the parameter c is constant (with respect to x). (a) Find the constant c. (b) Compute the cumulative distribution function F(2) of X. (c) Use F(2) (from b) to determine P(X > 1/2). (d) Find E(X) and V(X).
2. Let X be a continuous random variable with pdf ( cx?, [xl < 1, f(x) = { 10, otherwise, where the parameter c is constant (with respect to x). (a) Find the constant c. (b) Compute the cumulative distribution function F(x) of X. (c) Use F(x) (from b) to determine P(X > 1/2). (d) Find E(X) and V(X).
2. Let X be a continuous random variable with pdf ca2, 1 f(x) otherwise, where the parameter c is constant (with respect to x) (a) Find the constant c (b) Compute the cumulative distribution function F(x) of X (c) Use F(x) (from b) to determine P(X 1/2) (d) Find E(X) and V(X)
A random variable X has the following pdf, where is the parameter, f(x) = x>1. 2+1 Use the method of transformation to determine the pdf of Y = In X. Identify this distribution. X and Y are random variables with the following joint pdf, f(t,y) = e-(z+y), x >0, y>0. Find the joint probability density function of U and V by considering the transformation U x*y and V = Y. Hence, obtain the marginal density function of U