Sprint 7:56 PM 24% 110, ? mathxl.com Homework Do Homework Anastasia Ruiz Gianni

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Sprint 7:56 PM 24% 110, ? mathxl.com Homework Do Homework Anastasia Ruiz Gianni Bini Raissa Fluted Ruffle Sleeve Dress | Dillar... SMTE 1351.001 Summer 1 -2018 (Postelnicu) Anastasia Ruiz I 6/25/18 7:56 PM Homework: Section 14.4 Homework Save Score: 0 of 1 pt 5 of 10 (5 complete) ? HW Score: 30%, 3 of 10 pts X14.4.7 Question Help A game consists of rolling a pair of dice. You win the amounts shown for rolling the score shown in the table below. Compute the expected value of the game Roll $Won 4. 10 6 10 10 12 12 30 12 The expected value is $(Round to the nearest cent as needed.) Enter your answer in the answer box and then click Check Answer All parts showing Clear Al Check Answer

Explanation / Answer

Solution :

Given that Roll 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

Won$ x as 5, 7, 10, 12, 22, 30, 22, 12, 10, 7, 5

probability of each roll P(x) as 1/6,1/6,1/6,1/6,1/6,1/6,1/6,1/6,1/6,1/6,1/6
  

=> The expected value is = sum of x*p(x)

= 5*1/6 + 7*1/6 + 10*1/6 + 12*1/6 + 22*1/6 + 30*1/6 + 22*1/6 + 12*1/6 + 10*1/6 + 7*1/6 + 5*1/6

= 23.67

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