Answer:


Now we can find the expected value with this formula:

And replacing we got:

Step-by-step explanation:
For this case we know the following probability mass function given:

For this case we need to satisfy the following condition in order to have a probability distribution function:

And we have this:


Now we can find the expected value with this formula:

And replacing we got:

<span>x(x+2)+x(x-3)
=x^2 + 2x + x^2 - 3x
= 3x^2 - x</span>
Answer:
The tree is 28 feet tall.
Step-by-step explanation:
It is given that:
Height of flag pole = 8 feet
Shadow of flag pole = 6 feet
Ratio of height to shadow = 8 : 6
Shadow of nearby tree = 21 feet
Height of nearby tree = x
Ratio of height to shadow = x : 21
8 : 6 :: x : 21
Product of means = Product of extremes
6x = 8*21
6x = 168
Dividing both sides by 6

Therefore,
The tree is 28 feet tall.