2. Find the value of c so that the function is continuous everywhere. f(x) = 02...
For what value of a is the given function continuous everywhere? ( as + 2, a < 3 f(x) = 3 ( 22 - aa - 3, a > -3 و به اجب ده انا و
(15 points) Let X be a continuous random variable with cumulative distribution function F(x) = 0, r <α Inr, a< x <b 1, b< (a) Find the values of a and b so that F(x) is the distribution function of a continuous random variable. (b) Find P(X > 2). (c) Find the probability density function f(x) for X. (d) Find E(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
1. A continuous random variable has probability density function f(x) = 2x for all 0 < x < 1 and f(x) = 0 for all other 2. Find Prli <x< 1. O 1 16 O OP O . O 1
b. Let X be a continuous random variable with probability density function f(x) = kx2 if – 1 < x < 2 ) otherwise Find k, and then find P(|X| > 1/2).
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
find the limit f(x) = 2x2 -3, if x-2 13-x, ifx < -2 then, determine if the function is continuous at x=-2
9(10pt). Determine the value of a and b that make the function f(x) 2-3 if x < -3, x? + ax - 6 if -3 <r <2, ba - 6 ifr > 2 continuous on (-00,00) I
Let f(x) = { 80 -5 if < 10 - 7+ + b if : > 10 If f(x) is a function which is continuous everywhere, then we must have b = Let f(x) = 82 - 5 if x < 10 1 - 7x +b if x > 10 If f(x) is a function which is continuous everywhere, then we must have b= -6 2-5 - 2x + b if - 1 Let f(x) if 2 - 1 There...
onsider X is a continuous variable with the following density function f(x) = 2(x - 1) 1<x<2 otherwise (a) Compute expected value of the random variable X (b) Compute standard deviation of the random variable X (c) If g(x) = 4x + * 4X + 2, what is the expected value of g(x)? (d) What is the standard deviation of g(x)?