MA2212 - HW02

MA2212 - HW02 - Department of Mathematics Name Poly ID...

Info icon This preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Department of Mathematics Name: ________________________________ Poly ID: _______________________________ Instructor’s Name:_______________________ Course No:_____________________________ Course Section: _________________________ Homework Section No:___________________
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Willis Thai MA2212 HW02 1.3-1 A boy found a bicycle lock for which the combination was unknown. The correct combination is a four-digit number, d 1 d 2 d 3 d 4 , where d i , I – 1, 2, 3, 4, is selected from 1, 2, 3, 4, 5, 6, 7, 8. How many different lock combinations are possible with such a lock? 8 4 = 4096 1.3-5 How many four-letter code words are possible using the letters in HOPE if: (a) The letters may not be repeated? 4! = 24 (b) The letters may be repeated? 4 4 = 256 1.3-13 A café lets you order a deli sandwich your way. There are 6 choices for bread, 4 choices for meat, 4 choices for cheese, and 12 different garnishes (condiments). How many different sandwich possibilities are there if you choose: (a) One bread, one meat, and one cheese? 6 x 4 x 4 = 96 (b) One bread, one meat, one cheese, and from 0 to 12 garnishes? 6 x 4 x 4 x 2 12 = 393,216 (c) One bread; 0, 1, or 2 meats; 0, 1, or 2 cheeses; and from 0 to 12 garnishes? 6 x (1 + 4 + 4 C 2 ) (1 + 4 + 4 C 2 ) x 2 12 = 2,973,696 1.3-15 Among nine presidential candidates at a debate, three are Republicans and six are Democrats. (a) In how many different ways can the nine candidates be lined up? 9! = 362,880 (b) How many lineups by party are possible if each candidate is labeled either R or D ? 9 C 3 = 84 1.3-19 There are three teams in a cross country race. Team A has 5 runners, team B had 6 runners, and team C has 7 runners. In how many ways can the runners cross the finish line if we are only interested in the team for which they run? That is, what is the number of distinguishable permutations of 5 A’s, 6 B’s, and 7 C’s? (Note that for scoring purposes, only the scores of the first 5 runners for each team count.) ଵ଼Ǩ ହǨ଺Ǩ଻Ǩ = 14,702,688 1.4-1 A common test for AIDS is called the ELISA (Enzyme-Linked Immunosorbent Assay) test. Among 1,000,000 people who are given the ELISA test, we can expect results similar to those given in the table.
Image of page 2
Willis Thai MA2212 HW02 If one of these 1,000,000 people is selected randomly, find the following probabilities: (a) P(B 1 ) = ହ଴଴଴ ଵ଴଴଴଴଴଴ = .005 (b) P(A 1 ) = ଻଼ହଵହ ଵ଴଴଴଴଴଴ = .079 (c) P(A 1 |B 2 ) = ଻ଷ଺ଷ଴ ଽଽହ଴଴଴ = .074 (d) P(B 1 |A 1 ) = ସ଼଼ହ ଻଼ହଵହ = .062 (e) In words, what do parts (c) and (d) say? Part (c) asks for the probability that a person will test positive if he/she does not carry the virus
Image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern