STAT 3502 Quiz: 2018f_3502_a2_A
13 Feb 2019
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Stat 3502: probability and statistics - assignment 2 solution. [2 marks] scott o ers you the following game: you will roll two fair dice. If the sum of the two numbers obtained is 2, 3, 4, 9, 10, 11, or 12, scott will pay you . However, if the sum of the two numbers is 5, 6, 7, or 8, you will pay scott . Scott points out that you have seven winning numbers and only four losing numbers. In addition, you only pay if you lose but gain if you win. Let x be the sum of two dice rolled. The probability distribution of x is as following: x. Let y be the gain of playing the game and. As e(y ) = (20)(4/9) + ( 15)(5/9) = 5/9 (your expected gain is positive), you should accept this o er.
