math 317 practice exam for test 2 - Math 317 Exam 2 Spring...

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Unformatted text preview: Math 317 - Exam 2: Spring 2013 TR Name: Show all necessary work. Circle answers where necessary. (#1 through 7, 4 pts each part) A41. Meg is planning a birthday party for her son. She has narrowed down her decorations and games to 5 color choices for streamers, 7 color choices for balloons, and 3 choices for games. Furthermore, she has to decide between either chocolate or strawberry cake, and 4 flavors of ice cream. How many different birthday parties can Meg plan if one item is chosen from each category? 4mm. xrt : (574 jffl $62. A business has 30 employees. lfthe parent company wants to appoint positions to employees within the business, how many ways can a chairman, chief Operating officer, middle manager, and supervisor be chosen by the parent company? 2,0 /<,c3191';>< git fl V1353 fl tr; " Carly belongs to a book of the month club. Each month she must order two books and three magazines. If ere are 25 books and 18 magazines from which to choose, in how many ways can she make her purchase? ‘ ml— tr >< I4- CQ r a )k /"‘“ /_____‘__._. a 77 ’3‘ 4. How many distinguishable arrangements are there of the letters in the word PROPORTION? A large corporation requires its employees to wear security badges consisting of three letters followed by four digits. ) How many different security badges are possible if repetition is allowed, adjacent letters must be different, andlthe four-digit nun‘tber must end in a prime number? K . '\b m ~—-_'._-— B) How many different security badges are possible if no repetition is allowed, but the last letter must be a vowel, and the first digit must be an odd number less than six? atlases. 03.11- C) Ifrepetition of letters is allowed and repetition of digits is not allowed, what is the probability that a security badge consists of the same three letters followed by an even number? , ./ QXUN’M xleO‘fl/‘i’ W06 ' 13 6. Show how to simplify each of the following without the use of a calculator - in other words, show all the steps. (To get the final answers, you may use the calculator to do the actual arithmetic.) ' lb 4m easesntsfiwseh A) Czaa r B) + M m“. 3mm so a J by?" 9k 7. The mayor of Berville received 20 different slogans to attract businesses to town. The town voted for their favorite slogan. What is the probability that in a group of four friends, no two voted for the same slogan? do ' “L7t»x-xflf \tusfh .2 ’TEE‘”/so" #0 <90 For the following problems: Set up the problem, then use your calculator to find the answer. (5 pts each part) . An electronics store receives a shipment of 36 flat screen televisions, including 4 that are defective. Three of these televisions are selected as a donation to a local high school. ‘ A) How many of these selections will contain at least one defective television? .51 — i\ sec; {MU B) What is the probability that all three televisions are defective? X 9. A teacher has a picture of her top seven students for the year, 3 girls and 4 boys. A) If the students are lined up in a row, what is the probability that the top three students are in the middle? -N®5U9 4 Q Q 9 x F” \_ K’ o x “J J' \ OR B l rOL ‘ J : m M 3 B) How man photographs would have been possible where all the girls stand next to each other? ’ 3 cl ’2’» 3‘ C3 \ /___ _ l 1 UL. P) 10. . uton gave a multiple choice civics test. Each of the 25 questions has 4 choices. the‘ probability a student taking the test will answer all the questions wrong? - ' '- ....__\\é w, MW“ ...
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