Answer:


Step-by-step explanation:
We have two random variables X and Y.
and given that X=x, Y has uniform distribution (0,x)
From the definition of the uniform distribution we have the densities for each random variable given by:


And on this case we can find the joint density with the following formula:

And multiplying the densities we got this:

Now with the joint density we can find the expected value E(Y|x) with the following formula:

And replacing we got:

Answer:
1/4
Step-by-step explanation:
Answer:
The commutative property of multiplication states that the numbers of the operation can change their order, and this action will not alter the outcome.
Example 1:

Changing the order of the numbers in the operation:

Example 2:

Changing the order of the numbers in the operation:

<h2>
Answer:</h2>
[C] 90°.
<u>It is Because ∠ACB is formed by the diameter of the semicircle</u>.
<u>And we already know that, the angle formed by diameter measure 90° to the circle or semicircle</u>.