# hw1solutions - locations in 9 9 126 4 4!5 = = ways From the...

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AD Number________ Name_________________________ Score________ IE 300 / GE 331 HW1 2-44 (3 points) a. Every arrangement of 7 locations selected from the 12 leads to a different design. 12 7 12! 399,1680 5! P = = designs are possible. b. Every subset of 7 locations selected from the 12 leads to a different design. 12 12! 792 7 5!7! = = designs are possible. c. First, the three locations for components of the first type are selected in 12 12! 220 3 3!9! = = ways. Then, the four locations for components of the second type are selected from the nine remaining
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Unformatted text preview: locations in 9 9! 126 4 4!5! = = ways. From the multiplication rule, 720 , 27 126 220 = × designs are possible. • 2-78 (6 points) a. 80 2 ( ) 0.82 100 P A + = = b. 80 10 ( ) 0.90 100 P B + = = c. ( ) 80/100 ( | ) 0.889 ( ) 0.90 P A B P A B P B = = = I d. ( ) 80/100 ( | ) 0.9756 ( ) 0.82 P A B P B A P A = = = I e. 9756 . ) | ( = A B P f. ( 29 ( ') 2/100 ( | ') 0.20 ( ') 2 8 /100 P A B P A B P B = = = + I • 2-88 (1 point) A B C...
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