Solution Found!
A supplier of kerosene has a weekly demand Y possessing a
Chapter 6, Problem 3E(choose chapter or problem)
A supplier of kerosene has a weekly demand Y possessing a probability density function given by
\(f(y)=\left\{\begin{array}{ll} y, & 0 \leq y \leq 1 \\ 1, & 1<y \leq 1.5 \\ 0, & \text { elsewhere } \end{array}\right.\)
with measurements in hundreds of gallons. (This problem was introduced in Exercise 4.13 ) The supplier's profit is given by U = 10Y - 4.
a Find the probability density function for U.
b Use the answer to part (a) to find E(U).
c. Find E(U) by the methods of Chapter 4.
Questions & Answers
QUESTION:
A supplier of kerosene has a weekly demand Y possessing a probability density function given by
\(f(y)=\left\{\begin{array}{ll} y, & 0 \leq y \leq 1 \\ 1, & 1<y \leq 1.5 \\ 0, & \text { elsewhere } \end{array}\right.\)
with measurements in hundreds of gallons. (This problem was introduced in Exercise 4.13 ) The supplier's profit is given by U = 10Y - 4.
a Find the probability density function for U.
b Use the answer to part (a) to find E(U).
c. Find E(U) by the methods of Chapter 4.
Step 1 of 4
It is given that Y denotes the weekly demand for kerosene and has the probability density function
\(f(y)=\left\{\begin{array}{ll} y, & 0 \leq y \leq 1 \\ 1, & 1<y \leq 1.5 \\ 0, & \text { elsewhere } \end{array}\right.\)
The supplier’s profit is given by U = 10Y - 4.
Using this we need to find the required values.