A bag contains five balls numbered 1, 2, 4, 7, and *. Choose two balls at random

Question:

A bag contains five balls numbered 1, 2, 4, 7, and *. Choose two balls at random without replacement and add the numbers. If one ball has the *, double the amount on the other ball. Construct the probability distribution for this random variable X and calculate μ, σ², and σ.

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...