Answer:
a) Computing the expected value E(XY) gives 1/4
b) The probability density function fZ(z) of Z = XY is calculated in the attached picture.
c) Computing E(Z) gives 1/4
Step-by-step explanation:
Comparing the computation of E(Z) using the answer to b), it shows that the values are equal.
Solution:
The first car can travel 75 miles on 5 gallons of gas.
So per mile gas consumed by car gallon
The second car can travel 240 miles on 20 gallons of gas.
So per mile gas consumed by car gallon
It mean Sam should rent the First car.
Sam is renting one of two cars to go on a 300-mile trip.
So total number of gallons of gas required
Total cost of 20 gallons of gas dollar
Answer:
x=36
Step-by-step explanation:
So, lets go over what we know:
16 is equal to 4/9ths of x.
As a equation, this looks like:
We can begin to solve for x by multiplying both sides by the denominator, 9, which gets us:
=
Then we can divide by the coefficent of x, which is 4, to get our answer:
=
This is our answer! Hope this helps! :3