Question

In: Statistics and Probability

Suppose that the joint probability density function of ˜ (X, Y) is given by:´ f X,Y...

Suppose that the joint probability density function of ˜ (X, Y) is given by:´

f X,Y (x,y) = 4x/y3 I(0.1)(x), I (1, ∞)(y).

Calculate

a) P(1/2 < X < 3/4, 0 < Y ≤ 1/3).

b) P(Y > 5).

c) P(Y > X).

Solutions

Expert Solution

Given is:

a)  

Here we can see the y values are bellow 1

so f(x,y)=0

C)

The limit of this function is

The y value below is the f(x,)=0

So,

orchestra answered 2 years ago
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