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Math511Exam1Solutions

Ways so we get 4 6 8 a given that the first digit

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Unformatted text preview: em and five cards with the number 12 on them. A card is picked at random. Let X be the random variable that denotes the number written on the card. Determine the expected value of X. E(X) = _________________________(Answer should be an integer) Solution: E ( X ) = 8 × P ( X = 8 ) + 9 × P ( X = 6 ) + 12 × P ( X = 12 ) 1 1 5 = 8 × + 9 × + 12 × = 10 4 3 12 ⎛ 17 ⎞ Solution: ⎜ ⎟ ⎝ 20 ⎠ 20 3⎞ ⎛ = ⎜1 − ⎟ ⎝ 20 ⎠ 80 Name _______________________________________ Thursday February 7, 2013 7. (a). A darts player hits the bulls- eye 70%...
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