4. Find & such that |--^x=12,< for all \x + 2<8.
The probability density function of X is given by 0 elsewhere Find the probability density function of Y = X3 f(r)-(62(1-x)for0 < x < 1
5. Given the probability density f(x)= for -0<x<00, find k. 1+ 2 Jor -
1. Find the complex Fourier series of the following f(x) = x, -π < x < π
(1 point) Let x and y have joint density function p(2, y) = {(+ 2y) for 0 < x < 1,0<y<1, otherwise. Find the probability that (a) < > 1/4 probability = (b) x < +y probability =
18-19 please Solve the inequality. Then graph the solution. 19. 2x 1 <3
7. For the probability density function f(x) = for 0 <<<2 (a) Find P(x < 1) (b) Find the expected value. (c) Find the variance.
Find the value of k such that: Pr(-k<Z<k) = 0.60
Q2: Find the complex Fourier series (show your steps) - T < x <07 f(x) 0 < x < Q1: Find the Fourier transform for (show your steps) - 1<x< 0 Otherwise (хе f(x) = { 0,
1 pt) A P(X1126) Probability B. P(X < 966) Probability c. P(X > 1046) Probability