Find the marginal density for
by integrating the joint PDF over all possible values of
:


Then the density of
conditioned on
is

for
and undefined elsewhere.
Thus

= = =
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Answer:
7/3 =k
Step-by-step explanation:
4. -7 = 3k - 3-7
Combine like terms
-3 = 3k-10
Add 10 to each side
-3+10 = 3k-10+10
7 = 3k
Divide each side by 3
7/3 = 3k/3
7/3 =k
Answer:
4
Step-by-step explanation:
The geometric mean finds the typical value of a set of numbers through multiplication. To find the geometric mean of two numbers, you take the square root of the product of the two numbers.
So in this instance, multiply the two numbers together:

And take the positive square root of the product:

The geometric mean is different than the commonly-used arithmetic mean, which finds the central value of a set of numbers by dividing the set's sum total by how many numbers are in the set.
Yes
[5.5+(-2.3)] can be rearranged to be 5.5-2.3. It will be 3.2
(-5.5+2.3) can be rearranged to be 2.3-5.5. It will be -3.2
3.2-3.2=0
Answer: the length of the rectangle is 12 miles and the width is 12-5=7 miles.
Step-by-step explanation: