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Math 1324 Take Home Portion of Exam 2 1. From a group of 7 people, in how many ways can we choose a chairperson, vice-chairperson, treasurer, and

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Math 1324 Take Home Portion of Exam 2 1. From a group of 7 people, in how many ways can we choose a chairperson, vice-chairperson, treasurer, and secretary, assuming one person cannot hold more than one position? a) 5,040 b) 28 c) 35 d) 840 2. A company is to choose 6 persons from the sales department to go to a convention in the Bahamas. There are 9 people in the sales department. In how many ways can this group of 6 be chosen? a) 60,480 b) 6 c) 84 d) 720 3. How many ways can a committee of 2 Democrats and 3 Republicans be selected from a state legislature that contains 8 Democrats and 6 Republicans? a) 6,720 b) 48 c) 2,419,200 d) 560 4. A software company employs 9 sales representatives and 10 technical representatives. How many ways can the company select 3 of these employees to send to a computer convention if at least 2 sales representatives must attend the convention? a) 121 b) 166 c) 444 d) 525 5. A committee of 4 people is to be chosen from a group of 7 men and 6 women. What is the probability that the committee will consist of 2 men and 2 women? a) 13 21 b) 13 24 c) 63 143 d) 21 286 6. A department store receives a shipment of 29 new portable radios. There are 3 defective radios in the shipment. If 4 radios are selected for display, what is the probability that 2 of them are defective? a) 0.041 b) 0.083 c) 0.007 d) 0.741 7. Eight cards are drawn from a standard deck of cards. What is the probability that there are 5 face cards and 3 non-face cards? a) 0.492 b) 0.008 c) 0.458 d) 0.010 8. A survey of men and women pet owners found that 35 owned a dog, 30 owned a cat, 1 owned a bird, and 2 owned a gerbil. Of the women, 15 owned a dog, 20 owned a cat, 0 owned a bird, and 1 owned a gerbil. No person owned more than one pet. What is the probability that a person chosen at random from this group is male and owned a cat or a dog? a) 65 1050 b) 30 200 c) 32 68 d) 30 68 9. Volunteers for a charity raffle sold 800 tickets at \$10 each. Tickets are to be drawn at random and monetary prizes are awarded as follows: one prize of \$700; two prizes of \$550; five prizes of \$250; and ten prizes of \$100. What is the expected value of this raffle to you if you buy one ticket? a) \$5.06 b) -\$4.94 c) -\$8.00 d) \$2.00 b
10. A quality control engineer selects a random sample of 3 disk drives, from a group of 29 coming off an assembly line, to test for defects. Let X be the random variable associated with the number of defects in the sample. If there are 5 defective disk drives in the group of 29, find the expected value of the random variable X. a) 0.15 b) 0.17 c) 0.45 d) 0.52 11. A survey of 100 students at a large university found that 80 students played tennis, 43 played basketball, and 35 played both tennis and basketball. If a student is selected at random, what is the probability that the student plays neither tennis nor basketball? a) 9 20 b) 18 25 c) 3 25 d) 22 25 12. A group of 9 people consists of 4 men and 5 women. A committee of 4 is chosen from this group. What is the probability that one or more of the committee members is a man? a) 0.04 b) 0.84 c) 0.16 d) 0.96 13. A shipment of 29 compact disc players contains 7 that are defective. If 5 players from this shipment are selected at random and tested, what is the probability that at least one defective player will be found? a) 0.31 b) 0.71 c) 0.78 d) 0.24 14. A spinner is numbered from 1 through 9 with each number as likely to occur as any other. On a single spin what are the odds in favor of the pointer landing on an even number or a number divisible by 3? a) 2:3 b) 7:2 c) 7:9 d) 2:1 15. From a survey involving 2,300 students at a large university, it was found that 1,300 students had classes on Monday, Wednesday, and Friday; 1500 students had classes on Tuesday and Thursday; and 500 students had classes every day. If a student at this university is selected at random, what is the probability that the student has classes only on Tuesday and Thursday? a) 0.652 b) 0.217 c) 0.435 d) 0.565 16. A box contains 5 red balls and 7 white balls. Two balls are to be drawn in succession without replacement. What is the probability that the sample will contain exactly one white ball and one red ball? a) 2 12 b) 35 132 c) 12 35 d) 70 132 17. In building the space shuttle, NASA contracts for certain guidance components to be supplied by three different companies: 37% by company A, 38% by company B, and 25% by company C. It has been found that 1.75%, 2%, and 0.75% of the components from the companies A, B, and C, respectively, are defective. If one of these guidance components is selected at random, what is the probability that it is defective? a) 0.016 b) 0.045 c) 0.455 d) 0.484 b
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Math 1324
Take Home Portion of Exam 2
1. From a group of 7 people, in how many ways can we choose a chairperson, vice-chairperson, treasurer, and
secretary, assuming one person cannot hold more...

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