k-y Suppose g (y)- K0 otherwise is a pdf for a continuous random variable Y Find...
3. Suppose that Y is a continuous random variable with pdf су otherwise (a) Find the value of c E R so that fy(y) is a valid pdf. (b) If U-Y3, find the pdf fu(u) of U.
Problem 2 - Three Continuous Random Variables Suppose X,Y,Z have joint pdf given by fx,YZ(xgz) = k xyz if 0 S$ 1,0 rS 1,0 25 1 ) and fxyZ(x,y,z) = 0, otherwise. (a) Find k so that fxyz(x.yz) is a genuine probability density function. (b) Are X,Y,Z independent? (c) Find PXs 1/2, Y s 1/3, Z s1/4). (d) Find the marginal pdf fxy(x.y). (e) Find the marginal pdf fx(x). Problem 2 - Three Continuous Random Variables Suppose X,Y,Z have joint...
2. The actual tracking weight of a stereo cartridge that can be set to track at 3 g on a particular changer can be regarded as a continuous random variable X with pdf fx(x) otherwise a. Find the value of k so that fx is a valid pdf. b What is the probability that the actual tracking weight (X) is greater than the prescribed weight of 3 g? c. What is the probability that the actual weight is between 2.75...