Find the constant a such that the function is continuous on the entire real line. f(x)...
22. Given a continuous random variable X with probability density function f(x) = {2x, if :05451 otherwise a. Find P(0.3< X< 0.6) b. Find the mean of X C. Find the standard deviation of X.
For what value of the constant c is the function f continuous on ( – 60,00)? f(x) Sca? + 6x if x <3 1 x3 cx if x > 3 C= Preview Question 9 Points norcihlo 1
Consider the function S Ax? f(x) = - { x < 3 17 - Ax x3 Find a value of A so that the function is continuous at x = 3. - 12/17 17/12 12/17 17/3 - 17/12
For the function, is f(x) continuous at x = ± π ? Is it continuous at x = ± 2π? State your reason. Verbatim from the worksheet - "is f(x) continous at x=± π, ± 2π?" Someone was confused and couldn't answer the question earlier. I think it is asking if f(x) is continuous at these x values: x = π, x = -π, x = 2π, and x = -2π sin x, f(x) = { 1 -- 121, (20e-2,...
Let f(x)= kx + 5 x-1 for x<2 for x > 2 . Find the value of k for which f(x) is continuous at x=2.
2. Find the value of c so that the function is continuous everywhere. f(x) = 02 – 22 r<2 1+c => 2 {
4. Find the length of the curve x 1 f(x)= 12 +-, 1<x<4. х
(1) Suppose that X is a continuous random variable with probability density function 0<x< 1 f() = (3-X)/4 i<< <3 10 otherwise (a) Compute the mean and variance of X. (b) Compute P(X <3/2). (c) Find the first quartile (25th percentile) for the distribution.
3.98 Let X be a continuous random variable with probability density function f(x) defined on = {xl-π/2 < x < π/2). Give an expression for VIsinX)
Find all values x = a where the function is discontinuous. 3x - 5 if x < 0 f(x) = x2 + 5x -5 if x 20 O A. a = 0 OB. Nowhere O c. a = 5 OD. a = -5