7. I have a 6 sided die with the numbers 1, 2, 3, 3, 4, 5 on it. I also have a hat filled with numbers. When I pick a number out of the hat, I get a number between 1 and 10. The hat number has a mean of 2 and a standard deviation of 2.5. I make a new random variable bycombiningthesetwopreviousrandomvariables.Thenewrandomvariableismadeby taking the number I get from the hat and multiplying it by 7 and then adding 3. Then I add the number I rolled on the die. For example if I pick a 6 out of the hat and roll a 2 on the die my new random variable is 7(6) + 3 + 2 =47.

What is the mean of the new random variable?