I need some help, with my algebra
2 answers:
You might be interested in
Answer:
a)
And replacing we got:
b)
And then the expected value would be:
Step-by-step explanation:
We assume the following distribution given:
Y 0 1 2 3
P(Y) 0.60 0.25 0.10 0.05
Part a
We can find the expected value with this formula:
And replacing we got:
Part b
If we want to find the expected value of we need to find the expected value of Y^2 and we have:
And replacing we got:
And then the expected value would be:
You did not give any choices but this can easily be solved using the FOIL method.
FOIL stands for First, Outside, Inside, Last.
In your equation you have (6x-2)(6x+2)
You will multiply the terms that correspond to each letter
First: Means first terms of each set. In this case 6x and 6x
6x x 6x =
Now you have your first term in the sequence.
Outside: Means terms found in the outside areas of the whole equation, in this case it is 6x and 2
6x x 2 = 12x Now this is the second term
Inside: Means terms found in the inside areas of the whole equation, in this case it is -2 and 6x
-2 x 6x = -12x Now this is your third term
Last: Means the last terms of each set. In this case it is -2 and 2
-2 x 2 = -4 This is your last term
Now you have what you need for your new equation:
Because your second and third terms are like terms, you can combine them by doing the operation indicated. 12x-12x = 0 so now you can cancel it out from your equation and your left with:
This is your product
FOIL stands for First, Outside, Inside, Last.
In your equation you have (6x-2)(6x+2)
You will multiply the terms that correspond to each letter
First: Means first terms of each set. In this case 6x and 6x
6x x 6x =
Outside: Means terms found in the outside areas of the whole equation, in this case it is 6x and 2
6x x 2 = 12x Now this is the second term
Inside: Means terms found in the inside areas of the whole equation, in this case it is -2 and 6x
-2 x 6x = -12x Now this is your third term
Last: Means the last terms of each set. In this case it is -2 and 2
-2 x 2 = -4 This is your last term
Now you have what you need for your new equation:
Because your second and third terms are like terms, you can combine them by doing the operation indicated. 12x-12x = 0 so now you can cancel it out from your equation and your left with: