1. If f(x) is a Density Function, what is the value of k? Skr3, 0<x<1, f(0)...
solve for c such that f(x,y) is a valid density function. Seiten f(x, y) = 1<x<y <3 otherwise 0,
11) Find the value of k so that f (x) = kx4(1 -x)2 for 0 <x < 1 is a beta density function Also determine find E(T) and Var (T)
7. For the probability density function f(x) = for 0 <<<2 (a) Find P(x < 1) (b) Find the expected value. (c) Find the variance.
2) Suppose that X has density function f(a)- 0, elsewhere Find P(X < .3|X .7).
The probability density function of X is given by 0 elsewhere Find the probability density function of Y = X3 f(r)-(62(1-x)for0 < x < 1
help me answer a random variable X has density function f(x) = cx2 for 0<x<3 and f(x) = 0 others. a. Find constant value o b. Find probability P(1 < X<2
1. Consider the following function: 4x 0<x<0.5 f(x)= 4- kx 0.5 <x<1 0 Otherwise a) (5%) Determine k such that f(x) is a probability density function. b) (6%) Determine CDF of x. c) (4%) Using CDE, what is the p(x 0.75) d) (4%) Using CDE what is p(x<0.6) e) (4%) Determine E(x) Type here to search o TT
7. Given the joint density function /(x,y) =(kx (1 + 3 y*) 0<x<2,0<p?1 elsewhere a. Find k, g() h) and f(x) b. Evaluate P(-<X<1)
[4+3+3 Points] 9. For the following probability density function, f(x) -k for 0 <x < 0.5 f(x) - 3x2 for 0.5 < x < 1 f(x) -0 otherwise What is the value of k? Find the median value of x Find the probability that X<0.75 a. b.
Problem 3. The random variable X has density function f given by 0, elsewhere (a) Assuming that 6 0.8, determine K (b) Find Fx(t), the c.d.f. of X (c) Calculate P(0.4 <X < 0.8)