Answer:
a) 
b) 
c) 
![Var(X)=E(X^2)-[E(X)]^2= \frac{1}{2}(e^2 -1) -(e-1)^2 = 0.242](https://tex.z-dn.net/?f=Var%28X%29%3DE%28X%5E2%29-%5BE%28X%29%5D%5E2%3D%20%5Cfrac%7B1%7D%7B2%7D%28e%5E2%20-1%29%20-%28e-1%29%5E2%20%3D%200.242)
Step-by-step explanation:
a) what must the value of C be so that f(x) is a probability density function?
In order to be a probability function we need this condition:
And solving the left part of the integral we have:
, so then
b) find P(X<2)
We can find this probability on this way using the density function:
c) find E(X) and Var(X)
We can find the expected value on this way:
In order to find the Var(X) we need to find the second moment given by:
And now we can use the following definition:
Well you need to convert the percentage into a decimal . E.g: if the tax was 7% it would be 0.7 in decimal form. Then , you need to multiply your decimal by the priced the product. Whatever that number is, is your tax. Add your tax to the price of the product and you have successfully found your whole price.
The sine of any acute angle is equal to the cosine of its complement. the cosine of any angle is equal to the sine of its complement also
Answer:
d
Step-by-step explanation:hope it helps
2*19*50= 1,900 I hope that helps:)
