Chapter 6 Written Homework Assignment 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 le, and submit it on Canvas. Assignment: (20 points total) 1) In an attempt to raise money, an elementary school PTA created 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 $15, and if they roll a two, they will win $5. The PTA will charge 55 to play the game. {8 pts) 3) Create a valid probability table for the amount the PTA will earn for any one game. Be sure that you are making this table from the viewpoint of the earnings of the PTA and not the player. b) What is the expected value for the PTA of any one game played? Show your work. 2) Use the binompdf or the binomcdf command in your calculator to answer the following questions. To receive credit, you must show the command you used and the values you entered. Round your answers to three decimal places. (.12 pts) A college student has a part-time job checking newly manufactured hard-drive disks for dents, knicks and scratches. In a case of disks, the probability that they will observe a scratch is 28%. If the student inspects 10 cases: a) What is the probability that they observe 4 scratches? bl What is the probability that they will observe at most 4 scratches? c] What is the probability that they will observe at least 4 scratches? d) What is the probability that they will observe between 2 and 4 scratches (inclusive)? e} What is the mean and standard deviation of the number of scratches observed