Decide whether or not the function is a probability density function on the indicated interval. f(x)...
Show that the function on the right is a probability density function on [0, 0); then find the indicated probabilities. if O sxs 2 f(x) = 128 5, if x > 2 375, Choose the procedure below that you would use to show that f(x) is a probability density function on [0, 0). O A. Show that f(x) 20 on the interval and that the integral of f(x) from 0 to o equals 1. B. Show that f(x) > 0...
Find a value of k that will make fa probability density function on the indicated interval. f(x) = kx, [2, 4] Type an integer or a simplified fraction.)
Let X be a random variable with the probability density function f(x)= x^3/4 for an interval 0<x<2 (a) What is the support of X? (b) Letting S be the support of X, pick two numbers a, b e S and compute Pa<x<b). Draw a graph that shows an area under the curve y = f() that is equal to this probability. (c) What is Fx (2)? Draw a good graph of y=Fx (I). (d) What is EX? (e) What is...
For what value of c is the function f(x)=c(7x-(x^2)+8) a probability density function on the interval [0,6]?
Find k such that the function is a probability density function over the given interval. Then write the probability density function. f(x) = kx2; (-1,4] Å f(x 1 / 2 (x) = 1 x ² O 3 64 7; f(x) = CS x2 2. 65
Verify Property 2 of the definition of a probability density function over the given interval. f(x)=3, [03] Next, determine F(x). First, find the antiderivative off. (3 dx = 3x 3x+C Let C = 0 in the expression obtained above and let the resulting expression be F(x). Evaluate the result over the far right side of the formula for theprea. 0-0 [0,1] using area =
1. Let X be a continuous random variable with probability density function f(x) = { if x > 2 otherwise 0 Check that f(-x) is indeed a probability density function. Find P(X > 5) and E[X]. 2. Let X be a continuous random variable with probability density function f(x) = = { SE otherwise where c is a constant. Find c, and E[X].
Suppose that the probability density function of X is f(x) {cx3 0 1< x < 5 otherwise where c is a constant. Find P(X < 2).
Suppose that the probability density function of X is f(x) {cx3 0 1< x < 5 otherwise where c is a constant. Find P(X < 2).
Suppose that the probability density function of X is f(x) {cx3 0 1< x < 5 otherwise where c is a constant. Find P(X < 2).