Final Review

# Final Review - 2 0.2 1 0.5 0 0 Question 1 k xx y=h(x digit...

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0.2 0.5 0 x f(x) 3 k 2 1 0 x y=h(x) 1 Question 1 A ten digit phone number consists of a 3-digit area code followed by a 3-digit exchange number followed by 4 more digits. a) Assuming that the last seven numbers can be any digit, how many numbers are possible in a single area code? b) Assuming that the first digit in the 3-digit exchange must be either a 3, 7, or 9, now how many numbers are possible in a single area code? c) The keys on a phone are labeled with both numbers an letters as follows: 1 - no letters 2 - ABC 3 - DEF 4 - GHI 5 - JKL 6 - MNO 7 - PRS 8 - TUV 9 - WXY 0 - no letters If I take the last four numbers in a phone number, how many different words can I make? d) Repeat part c) with the additional stipulation that none of the letters in a word can be the same. Question 2 Students at Lafayette are given a personality test that classifies people into three personality types, "dufus", "bozo", and "nerd". The results of the test by class are shown below: Dufus Bozo Nerd Freshmen 35 15 12 Sophomore 30 21 15 Junior 20 24 12 Senior 15 32 16 If I select a random Lafayette student, find: a) The probability the student is a Bozo b) The probability the student is a Dufus given he/she is a freshman c) The probability that the student is either a freshman or sophomore given that the student is a Bozo. d) The probability that the student is a Bozo or a Nerd given that the student is a Junior or Senior.

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Question 3 Movie actors can be classified into 4 groups, leading men (LM), leading women (LW), supporting men (SM) and supporting women (SW). During casting for a new movie, the director auditions 4 leading men, 3 leading women, 5 supporting men and 4 supporting women. The movie script calls for 1 LM, 2 LW, 3 SM, and 2 SW. a)

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Final Review - 2 0.2 1 0.5 0 0 Question 1 k xx y=h(x digit...

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