Determine the value of c that makes a joint probability
Chapter 5, Problem 25E(choose chapter or problem)
Determine the value of c that makes \(f x y z(x, y, z)=c\) a joint probability density function over the region \(x>0, y>0, z>0\), and \(x+y+z<1\).
Determine the following:
(a) \(P(X<0.5, Y<0.5, Z<0.5)\) (b) \(P(X<0.5, Y<0.5)\)
(c) \(P(X<0.5)\) (d) \(E(X)\)
(e) Marginal distribution of X
(f) Joint distribution of X and Y
(g) Conditional probability distribution of X given that Y = 0.5 and Z = 0.5
(h) Conditional probability distribution of X given that Y = 0.5
Equation transcription:
Text transcription:
f x y z(x, y, z)=c
x>0, y>0, z>0
x+y+z<1
P(X<0.5, Y<0.5, Z<0.5)
P(X<0.5, Y<0.5)
P(X<0.5)
E(X)
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer