Find a value of k that will make fa probability density function on the indicated interval....
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 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
Decide whether or not the function is a probability density function on the indicated interval. f(x) = *2; 13, 5) No 0 Yes
8. A probability density function (PDF) is given by: f(x)-k(8x-x2) for 0cx<8 What value of 'k' will make this a PDF? 9. A probability density function (PDF) is given by: f(x)-e.( 4) for x>a What value of a will make this a PDF? 10. A probability density function (PDF) is given by: f(x)-1.5x2 for -acx<a What value of a will make this a PDF?
Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they f(x)=x4-8x2+2 [-3,3] The absolute maximum value is | | at x = (Use a comma to separate answers as needed) where points of inflection occur. Do not sketch the graph box to On which A. The function is concave down on (Type your answer in in to separate answers as needed) O B. The function is never concave down...
2. Let X and Y be continuous random variables with joint probability density function fx,y(x,y) 0, otherwise (a) Compute the value of k that will make f(x, y) a legitimate joint probability density function. Use f(x.y) with that value of k as the joint probability density function of X, Y in parts (b),(c).(d),(e (b) Find the probability density functions of X and Y. (c) Find the expected values of X, Y and XY (d) Compute the covariance Cov(X,Y) of X...
Determine whether is a rational function and state is domain Is fa rational function? 26-9 Yes O NO What is the domain of Select the correct choice below and, if necessary, in the answer box to complete your OA DX (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) OBD2 (Type an integer or a simplified traction) OC. D-{X* (Type an integer or a simplified fraction) OD. The domain is a real numbers
(A) Find the average value of the function over the indicated interval. (B) Graph the function and its average value over the indicated interval in the same viewing window. f(x)= [1,16] (A) Find the average value of the function over the indicated interval. (B) Graph the function and its average value over the indicated interval in the same viewing window. f(x)= [1,16]
7. A probability density function (PDF) is given by: f(x)-21x3 for x>a What value of 'a' will make this a PDF? 8. A probability density function (PDF) is given by: f(x) k(8x-x2) for 0<x<8 What value of 'k' will make this a PDF? 9. A probability density function (PDF) is given by: f(x)-e.(x4) for x> a What value of a will make this a PDF? 10. A probability density function (PDF) is given by: f(x)-15x2 for-a<x<a What value of a...
A joint probability density function is given by f(x,y)-c-x(2-x-y), for 0 < x < 1 and 0 < y < 1. Find the value of c to make this a valid density function. A joint probability density function is given by f(x,y)-c-x(2-x-y), for 0