The cost of the fuel (C) to run a vehicle is a function of the distance travelled (S) and fuel consumption rate (R) that is, C R S It is desired to know the probability distribution of the random variable C when R and S have the following assumed probability mass functions (R and S are independent)...

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The cost of the fuel (C) to run a vehicle is a function of the distance travelled

Question:

The cost of the fuel (C) to run a vehicle is a function of the distance travelled (S) and fuel consumption rate (R); that is, C = R. S. It is desired to know the probability of the random variable C when R and S have the following assumed probability mass functions (R and S are independent):

What are the mean, variance, and standard deviation of the probability distribution for annual cost of fuel, C?

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...