Answer:
a) 
And replacing we got:

b) ![E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148](https://tex.z-dn.net/?f=%20E%2880Y%5E2%29%20%3D80%5B%200%5E2%2A0.45%20%2B1%5E2%2A0.2%20%2B2%5E2%2A0.3%20%2B3%5E2%2A0.05%5D%3D%20148)
Step-by-step explanation:
Previous concepts
In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".
The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).
And the standard deviation of a random variable X is just the square root of the variance.
Solution to the problem
Part a
We have the following distribution function:
Y 0 1 2 3
P(Y) 0.45 0.2 0.3 0.05
And we can calculate the expected value with the following formula:

And replacing we got:

Part b
For this case the new expected value would be given by:

And replacing we got
![E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148](https://tex.z-dn.net/?f=%20E%2880Y%5E2%29%20%3D80%5B%200%5E2%2A0.45%20%2B1%5E2%2A0.2%20%2B2%5E2%2A0.3%20%2B3%5E2%2A0.05%5D%3D%20148)
Answer:
If there's 10 cookies in the jar, and if 2 are peanut butter, the fraction for peanut butter cookies is 1/5, simplified.
Step-by-step explanation:
<u>Given:</u>
- 10 Cookies Total
- 3 are Oreo cookies
- 2 are peanut butter cookies
- 4 are chocolate chip cookies
- 1 is a sugar cookie
Bolded text represents what we'll be focusing on.
2 of the cookies are peanut butter, and there's 10 cookies total.
As a fraction, the peanut butter cookies are represented as:
2/10.
2/10 represents 2 peanut butter cookies out of 10 cookies altogether.
<u>Simplify:</u>
2/10 can be simplified by dividing both numerator and denominator by 2:
Quotient: 1/5.
1/5 is your answer.
Answer:
it minimum
Step-by-step explanation:
you didn't really give an equation
ANSWER:
125/2 =125/2
PROVED
STEP BY STEP EXPLANATION
PUTTING THE VALUE OF X, WE HAVE
1/2×5×5×5=125/2
1/2×125=125/2
125/2=125/2
HENCE ,L.H.S =R.H.S
PROVED.
HOPE THIS WILL HELP YOU
Ask google or maybe YouTube