x, 05x<1 if f(x) = {k, 15x<2 where K-3 and F(s) = {{f(x)}, then the value...
1\x+21, x<0 -Sketch the graph of this piece-wise defined function: S(x) = {3 05x<2 1(x+1), x22
Given f(x) k(1 + x2) 2. -1 < x< 2 a) Find k. b) Calculate F(x) and the three quartiles. c) Calculate E(X), Var(X)
Let f (2) be defined by: k-?, <<-1 f(3) = z? +, -1<x<1 - kr1 Which of the following values of k would make f (2) continuous on R? Ok=0 There is no such value for k Ok= -1 Ok= 1
Determine the value of such that the function f (x, y) = cxy for 0<x<3 and 0 <y<3 satisfies the properties of a joint probability density function. Determine the following. Round your answers to four decimal places (e.g. 98.7654). 1.0994 P&<2,Y<3) 7.4444 P(X<2.0) 21:1878 Pu<Y<1,7) 12489 P(X>1.8,1 <Y<2.5) 7:3733 EX) P(X < 0,8< 4)
The function shown below is described by: f(x) 1 when 0sx<1 0 f(x)-when 1sx<2 X 3 f(x) 0 when x22 Sketch a graph of the function: Ix)()dt
5. Given the probability density f(x)= for -0<x<00, find k. 1+ 2 Jor -
find the inverse z transform X(z) = 1-2-3 with [2]<1
function Ckek osrs4 be a density 4. Let f(x)=3 otherwise Find: i) k = 24] P(-2<x<2)
Consider the following pdf: ; 0<x<1 f(x)-2k ; l<x<2 0 otherwise (i)Determine the value of k. (ii) Find P(X 0.3) (iii) Find (0.1 〈 X 1.5).
1 Define the concept of functions 2. Consider the function f(x)=x-x+S. (2) f(0) (1) 3. Consider the function f(x) 3r-4 1-1, <2 x22 (2) (0) (1)