(Solved): Jenny Sureshoot is a WNBA star shooter, known for her excellent 3-point shooting. Historically, she ...

Jenny Sureshoot is a WNBA star shooter, known for her excellent 3-point shooting. Historically, she scores $40\%$ of all 3 -point shots taken in the game. The outcome of each shot attempt is independent of the outcome of any other shot attempt. In other words, Jenny does not have a hot or cold streak during a game. ${}^1$ Use this information to answer questions 12 to 18 , selecting the choice that is closest to the answer. 12. Suppose that Jenny attempts four 3-point shots, what is the probability that you get the following sequence of outcomes: hit-miss-hit-hit (a) 0.0384 (b) 0.1536 (c) 0.4 (d) 0.9744 13. Suppose that Jenny attempts four 3-point shots. What is the probability that three of the four shots are hits? (a) 0.0256 (b) 0.1536 (c) 0.8464 (d) 0.9744 14. Suppose that Jenny attempted four 3-point shots and three of them went in. Given this information, what is the probability that she made her 1st shot? (a) 0.25 (b) 0.5 (c) 0.6 (d) 0.75 (e) 1 ${}^1$ For your information, congnitive scientists found that there is very little evidence supporting a hot or cold streak. Instead, the declaration of "hot" or "cold" streak can be best viewed as commentary on the past performance rather than prophecy about future performance. See Tversky and Gilovich (1989): "The cold facts about the 'Hot Hand' in basketball" for further reading. 15. Suppose that Jenny attempts twelve 3 -point shots. What is the probability that the total points that Jenny scores as a result of these shots exceed 20 ? (a) 0.0573 (b) 0.1582 (c) 0.6321 (d) 0.8418 (e) 0.9427 16. Suppose that Jenny attempts twelve 3-point shots. What is the probability that the total points that Jenny scores as a result of these shots is greater than or equal to 12 and less than or equal to 24 ? (a) 0.9847 (b) 0.7594 (c) 0.5590 (d) 0.5466 (e) 0.2253 17. Suppose that Jenny attempts twelve 3-point shots. Which of the following statement is not true? (a) The probability that none of the twelve shots scores is about 0.0022 . (b) The probability that all 12 shots score is close to 0 . (c) The expected number of shots that score is 4.8 shots. (d) The standard deviation of the number of shots that score is 2.88 shots. (e) The expected number of points scored as a result of the twelve shots is 14.4 points. 18. Suppose that Jenny attempts twelve 3-point shots. What is the variance of the total number of points scored as a result of these shots? (a) 1.697 (b) 2.88 (c) 8.64 (d) 12.025 (e) 25.92