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$100. $100. $100. $100. $100. $200. $200. $200. $200. $200. $300. $300. $300. $300. $300. $400. $400. $400. $400. $400. $500. $500. $500. $500. $500. Counting. Probability. Discrete Probability Distribution. Stats. Continuous Probability Distribution. Counting.

luke-hubbard
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$100

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  1. $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500

  2. Counting

  3. Probability

  4. Discrete Probability Distribution

  5. Stats

  6. Continuous Probability Distribution

  7. Counting Discrete Probability Distribution Stats Cont. Probability Distribution Probability $ $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500

  8. CATEGORY 1 - $100 How many letter permutations are there in each of the following words: a) MATH b) CAREER

  9. CATEGORY 1 - $200 a) How many four-digit numbers are possible with the digits 3, 4, 5, 6, 7, 8, and 9? Assume that no digits repeat. b) How many of these numbers in part a) are odd numbers? c) How many of these numbers in part a) are even numbers?

  10. CATEGORY 1 - $300 Loyalist CVI is about to have a reunion of all the previous graduating classes. There are 20 members of the current alumni association. Of these, eight members are recent graduates. In how many ways can a sub-committee of four members be struck to provide memorabilia if a) there are no restrictions b) the sub-committee must be all recent graduates c) the sub-committee must have only two recent graduates d) the sub-committee must have no more than three recent graduates

  11. CATEGORY 1 - $400 A soccer team played eight games and won five of them. There were no ties. How many arrangements of the five wins and three losses are possible?

  12. Every Friday a downtown restaurant has an all-you-can-eat buffet with the following items:  soup, garden saladbread, rolls, crackerspopcorn shrimp, shrimp and diplasagna, chicken wraps, beef stewsnow peas, carrots, mixed vegetablesfresh fruit, apple pie, custard a) How many different combinations of items could you choose for your meal?b) The restaurant also has a lunch special featuring any one item from each group. How many choices do you have in this special? Expand and simplify CATEGORY 1 - $500 .

  13. A pencil case contains three blue pens, two red pens, and five pencils. If you reach in and randomly select a writing instrument, what is the probability that it isa)a red pen? b)a pen? c) not a blue pen? CATEGORY 2 - $100

  14. Suppose that the weather forecast calls for a 30% chance of rain on each of the three days of a long weekend. What are the odds in favour of no rain throughout the entire long weekend? CATEGORY 2 - $200

  15. A box contains 48 tickets for six door prizes. Six tickets are drawn, and not replaced, to declare the winners. If Serge purchases 8tickets, determine the probability that he winsa) the first prizeb) the first and second prizesc) all six prizes CATEGORY 2 - $300

  16. CATEGORY 2 - $400 Ten boys and 12 girls decide to rent a 16-passenger van and a 6-passenger car to drive to a rock concert in a nearby city. If the group is distributed randomly between the vehicles, what is the probability that a) there are no boys in the car? b) there are no girls in the car? c) Steve and Susan are both in the van? d) either Steve or Susan are in the van?

  17. Six friends at a dinner party are seated randomly at a round table. What is the probability thata) Russel will be seated next to Sadia?b) Russel, Jade, and Sadia are seated next to each other in alphabetical order, clockwise? CATEGORY 2 - $500

  18. A lottery ticket costs $1.00 and a total of 2 250 000 tickets were sold. The prizes and their frequencies are given in the following table. Determine the expected winnings of each ticket. CATEGORY 3 - $100

  19. CATEGORY 3 - $200 Of 20 people invited to a pool party, 4 prefer vanilla ice cream, 7 prefer chocolate, and 3 prefer strawberry. The host surveys six of these people at random to determine how much ice cream to buy. a) What is the probability that at least 3 of the people surveyed prefer chocolate ice cream? b) What is the probability that none prefer vanilla ice cream? c) What is the expected number of people who prefer strawberry ice cream?

  20. What is the probability that at least one double will occur within the first five rolls of two dice?What is the expected waiting time before a double? CATEGORY 3 - $300

  21. A multiple-choice mathematics quiz has five questions, each with five possible answers. Someone simply guesses at each answer.a) What is the probability of zero or one correct guesses? b) What is the probability of getting more than half the questions right?c) What is the expected number of correct guesses? CATEGORY 3 - $400

  22. In the spring, the Ministry of the Environment caught and tagged 300 raccoons in an area in cottage country. The raccoons were released after being vaccinated against rabies. To estimate the raccoon population in the area, the ministry caught 25 raccoons during the summer. Of these, 10 had tags. Estimate the raccoon population in the area. CATEGORY 3 - $500

  23. Determine the mean. CATEGORY 4 - $100

  24. The final mark in a data management class is calculated using the weightings shown in the table below. CATEGORY 4 - $200

  25. Describe the type of sample used in each scenario.a) a telephone survey of numbers randomly selected from a store’s database.b) A student council asks students to comment on an issue by placing their comments in a comment box.c) A proportionate number of people from 10 age groups are randomly selected from the population of a city. CATEGORY 4 - $300

  26. Define or explain each of the following terms.a) moderate positive linear correlation b) control groupc) presumed relationship CATEGORY 4 - $400

  27. Define or explain each of the following terms. a) correlation coefficientb) coefficient of determination CATEGORY 4 - $500

  28. A cereal manufacturer finds that the mass of cereal in the 200-g packages is normally distributed with a mean of 200 g and a standard deviation of 16.3 g.a) What is the probability that a package chosen at random has a mass between 180 g and 220 g?b) If a container with less than 170 g is considered below standard, what proportion of cereal packages would be rejected? CATEGORY 5 - $100

  29. A cereal manufacturer finds that the mass of cereal in the 200-g packages is normally distributed with a mean of 200 g and a standard deviation of 16.3 g.Out of 500 packages, how many have a mass greater than 230 g? CATEGORY 5 - $200

  30. The probability of winning a large stuffed animal in the ring-toss game at a fair is 10%.a) Using a binomial distribution and a normal distribution, predict how the probabilities of winning at least 5 of 50 games will differ.b) Find the probability of winning at least 5 of 50 games usingi) a binomial distribution ii) a normal approximation CATEGORY 5 - $300

  31. The marks on one mathematics test had a mean of 67 and a standard deviation of 4. A second mathematics test had a mean of 65 and a standard deviation of 9.Josh had a mark of 70 on both tests. Which result appears to be the better mark? Explain. CATEGORY 5 - $400

  32. The marks on one mathematics test had a mean of 67 and a standard deviation of 4. A second mathematics test had a mean of 65 and a standard deviation of 9. The teacher has decided to bell the marks on the first test in order to match the mean and standard deviations of the second test. Find Josh’s new mark on the first test. CATEGORY 5 - $500

  33. CATEGORY 1 - $100 Answer • 24 b) 180 $

  34. CATEGORY 1 - $200 Answer • 840 b) 480 c) 360 $

  35. CATEGORY 1 - $300 Answer • 20C4 = 4845 • 8C4 = 70 • 8C2 x 12C 2 = 1848 • 4775 $

  36. CATEGORY 1 - $400 Answer 56 $

  37. CATEGORY 1 - $500 Answer • 65 535 • 324 $

  38. CATEGORY 2 - $100 Answer • . • . • . $

  39. CATEGORY 2 - $200 Answer • 343:657 $

  40. CATEGORY 2 - $300 Answer $

  41. CATEGORY 2 - $400 Answer • 0.012 • 0.0028 • 0.52 • 0.94 $

  42. CATEGORY 2 - $500 Answer • . • . $

  43. CATEGORY 3 - $100 Answer $0.14 $

  44. CATEGORY 3 - $200 Answer • a) 0.3359 • 0.2066 • 0.9000 $

  45. CATEGORY 3 - $300 Answer a) 0.5981 b) 5 rolls $

  46. CATEGORY 3 - $400 Answer • a) 0.7373 • 0.05792 • 1 $

  47. CATEGORY 3 - $500 Answer 750 raccoons $

  48. CATEGORY 4 - $100 Answer mean = 105 500 $

  49. CATEGORY 4 - $200 Answer 84.5% $

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