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HW2Solutions

# HW2Solutions - = HYPGEOMDIST(0,5,4,52 =.6588 d 1 f(0 =...

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5E Fall 2010 Homework 2 Solutions Chapter 4: 45. a. Let S = person is age 65 or older P (S) = 34,991,753 .12 281,421,906 b. Let D 5 = takes 5 or more prescriptions P ( S | D 5 ) = 5 5 5 ( ) ( ) ( ) ( ) ( ) ( ) c c P S P D S P S P D S P S P D S = .12(.40) .12(40) .88(.28) = .048 .048 .2464 = .16 Chapter 5: 12. a. Yes; f ( x ) 0. f ( x ) = 1 b. f (500,000) + f (600,000) = .10 + .05 = .15 c. f (100,000) = .10 22. a. E ( x ) = x f ( x ) = 300 (.20) + 400 (.30) + 500 (.35) + 600 (.15) = 445 The monthly order quantity should be 445 units. b. Cost: 445 @ \$50 = \$22,250 Revenue: 300 @ \$70 = 21,000 \$ 1,250 Loss 32. a. .90 c. P (at least 1) = 1 - f (0) 0 3 3! (0) (.9) (.1) .001 0! 3! f Therefore, P (at least 1) = 1 - .001 = .999 d. Yes; P (at least 1) becomes very close to 1 with multiple systems and the inability to detect an attack would be catastrophic.

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