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Chapter 2: Probability32.a. 5×4×3×4 = 240b. 1×1×3×4 = 12c. 4×3×3×3 = 108d. # with at least on Sony = total # - # with no Sony = 240 – 108 = 132132e. P(at least one Sony) = = . 55240P(exactly one Sony) = P(only Sony is receiver)+ P(only Sony is CD player)+ P(only Sony is deck)1×3×3 × 3 4 × 1×3×3 4 × 3×3 × 1= + + =240 240 24099= = .41324027 + 36 + 3624033.⎛25⎞25!a. ⎜ ⎟ = = 53, 130⎝ 5 ⎠ 5!20!⎛8⎞⎛17⎞b. ⎜ ⎟ • ⎜ ⎟ = 1190⎝4⎠⎝ 1 ⎠⎛8⎞⎛17⎞⎜ ⎟⎜⎟⎝4⎠⎝1 ⎠⎛25⎞⎜ ⎟⎝ 5 ⎠119053, 130c. P(exactly 4 have cracks) = = = . 022d. P(at least 4) = P(exactly 4) + P(exactly 5)⎛8⎞⎛17⎞⎛8⎞⎛17⎞⎜ ⎟⎜⎟ ⎜ ⎟⎜⎟⎝4⎠⎝1 ⎠ 5 ⎝ 0 ⎠= +⎝ ⎠= .022 + .001=.023⎛25⎞⎛25⎞⎜ ⎟ ⎜ ⎟⎝ 5 ⎠ ⎝ 5 ⎠62

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