# Tut2 - ECE316 Tutorial for the week of May 18-22 Problem 6...

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Unformatted text preview: ECE316 Tutorial for the week of May 18-22 Problem 6 – Page 50: refer to lecture notes – part 1 – slide 3,7 A hospital administrator codes incoming patients suffering gunshot wounds according to whether they have insurance (coding 1 if they do and 0 if they do not) and according to their condition, which is rated as good (g), fair (f), or serious (s). Consider an experiment that consists of the coding of such patients. (a) Give the sample space of this experiment. (b) Let A be the event that the patients is in serious condition. Specify the outcomes in A. (c) Let B be the event that the patients is uninsured. Specify the outcomes in B. (d) Give all the outcomes in the event g G ∪ ¡ Solution: a) The sample space is S= {(0,g),(0,f),(0,s),(1,g),(1,f),(1,s)}. b) A ={(0,s),(1,s)}. c) B ={(0,g),(0,f),(0,s)}. d) B C = {(1,g),(1,f),(1,s)}, so g G ∪ ¡ = {¢1, £¤,¢1, f¤, ¢1, s¤, ¢0, s¤} Problem 11 – Page 51: refer to lecture notes – part 1 – slide 11 A total of 28 percent of American males smoke cigarettes, 7 percent smoke cigars, and 5 percent smoke both cigars and cigarettes. (a) What percentage of males smokes neither cigars nor cigarettes? (b) What percentage smokes cigars but not cigarettes? Solution: Let... b P(A) = 0.28 b P(B) = 0.07 b P(A ∩ B) = 0.05 a) ¥¢¢¡ ∪ g¤ G ¤ = 1 − ¥¢¡ ∪ g¤ = 1 − {¥¢¡¤ + ¥¢g¤ − ¥¢¡ ∩ g¤} = 0.7 b) ¥¢g ∩ ¡ G ¤ = ¥¢g¤ − ¥¢¡ ∩ g¤ = 0.02 Problem 12 – Page 51: refer to lecture notes – part 1 – slide 8,11 An elementrary school is offering 3 language classes: one in Spanish, one in French, and one in German. The classes are open to any of the 100 students in the school. There are 28 students in the Spanish class, 26 students in the French class,, and 16 in the German class. There are 12 students that are in both in Spanish and French , 4 that are in both Spanish and German, and 6 that are in both French and German. In addition there are 2 students taking all 3 classes....
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Tut2 - ECE316 Tutorial for the week of May 18-22 Problem 6...

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