Written Homework Assignment for Discrete Random Variables MATH-138 Online Statistics Directions: On a separate sheet of paper, write out your solutions to the questions below. Then scan your written work, save it as a PDF file, and submit it on Canvas. Late assignments will receive a grade of zero unless prior arrangements are made with me. Assignment:(25 points total)1)A local shop tracked sales and has observed the distribution in the table below. (6 pts) a)Use your calculator to find the average daily sales that this shop can expect? You must write what you entered in your calculator to receive credit for this problem. b)Using the same calculator output as in part (a), what is the standard deviation? (No need to show any work for this question since your work is in part (a).) c)Give two reasons why the table is a valid probability table. 2)In an attempt to raise money, an elementary school PTA is creating a dice game as part of an annual fundraising event. The player will roll a fair die. If they roll a one, they will win $20. If not, the player will roll again. If they get