The weekly demand for propane gas (in 1000s of gallons) from a particular facility is an rv

Question:

The weekly demand for propane gas (in 1000s of gallons) from a particular facility is an rv X with pdf

f(x) = 1sxs2 otherwise

a. Compute the cdf of X.

b. Obtain an expression for the (100p)th percentile. What is the value of µ̃?

c. Compute E(X) and V(X).
d. If 1.5 thousand gallons are in stock at the beginning of the week and no new supply is due in during the week, how much of the 1.5 thousand gallons is expected to be left at the end of the week?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Question Posted: