$100

$100$100

$400$400

$300$300

$200$200

$400$400

$200$200

$100$100$100$100

$400$400

$200$200 $200$200

$500$500$500$500

$300$300

$200$200

$500$500

$100$100

$300$300

$100$100

$300$300

$500$500

$300$300

$400$400 $400$400

$500$500

Counting

Probability

Discrete Probability Distribution

Continuous Probability Distribution

ProbabilityCont.

Probability Distribution

$100 $100 $100 $100 $100

$300 $300 $300 $300 $300$200 $200 $200 $200 $200

$400 $400 $400 $400 $400

$500 $500 $500 $500 $500

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CountingDiscrete Discrete

Probability Probability DistributionDistribution

Stats

CATEGORY 1 - $100CATEGORY 1 - $100

How many letter permutations are there in each of the following words:

a) MATHb) CAREER


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?


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 ifa) there are no restrictionsb) the sub-committee must be all recent graduatesc) the sub-committee must have only two recent graduatesd) the sub-committee must have no more than three recent graduates


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?

CATEGORY 1 - $500CATEGORY 1 - $500Every 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

.


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?


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?


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


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 thata) 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?


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?


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.

Prize Number of Prizes

$250 000 1

$25 000 2

$2 500 5

$250 20

$25 100


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?


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?


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?


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.


Determine the mean.

56 95 128 102 76 113

87 115 65 109 176 105

102 57 43 98 102 128

81 92 34 144 104 95

69 84 155 137 73 223

78 128 117 116 192 120


The final mark in a data management class is calculated using the weightings shown

in the table below.

Quizzes 10%

Assignments 10%

Tests 30%

Culminating Assignment

20%

Exam 30%

Quizzes 78 /84

Assignments 102/120

Tests 203 /250

Culminating Assignment

85 /100

Exam 76 /90


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.


Define or explain each of the following terms.a) moderate positive linear correlationb) control groupc) presumed relationship


Define or explain each of the following terms.a) correlation coefficientb) coefficient of determination


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?


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?


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 using

i) a binomial distribution ii) a normal approximation


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.


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.

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Answer


a) 24 b) 180

$

Answer


a) 840 b) 480 c) 360

$

Answer


a) 20C4 = 4845b) 8C4 = 70c) 8C2 x 12C 2 = 1848d) 4775

$

Answer


56

$

AnswerCATEGORY 1 - $500CATEGORY 1 - $500

a) 65 535b) 324

$

Answer


a) .

b) .

c) .

5

1

2

1

10

7

$

Answer


343:657

$

Answer


6

1

282

7

878 067 3

7

$

Answer


a) 0.012 b) 0.0028 c) 0.52 d) 0.94

$

Answer


a) .

b) .

5

2

20

1

$

Answer


$0.14

$

Answer


a) 0.3359b)0.2066c)0.9000

$

Answer


a) 0.5981 b) 5 rolls

$

Answer


a) 0.7373b)0.05792c)1

$


Answer

750 raccoons

$


Answer

mean = 105 500

$

Answer


84.5%

$

Answer


a) simple random b) voluntary responsec) stratified

$

Answer


a) a moderate pattern in which one variable increases, as the other increases in direct proportion

b) a group similar to an experimental group in a study, except that the independent variable in the study B held constant

c) an observed correlation between two variables, while not seemingly accidental, the causal nature of which is not apparent

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Answer


a) a quantitative measure of the strength of linear correlation; how close a line fits a set of data

b) a quantitative measure of the strength of non-linear correlation; how closely a curve fits a set of data

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Answer


a) 78.02%b) 3.28%

$

Answer


16.42 packages

$

Answer


a) Sample prediction: the results using normal approximation will be the same, to the nearest tenth.

b) i)0.5688 ii) 0.5932

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Answer


The result for test one appears to be the better mark because it has a higher z-score; the z-score for test one is 0.75, and the z-score for test two is 0.56.

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Answer


71.75%

FINAL FINAL CATEGORYCATEGORY

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FINAL CATEGORYFINAL CATEGORY

INSERT FINAL QUESTION INSERT FINAL QUESTION (ANSWER) HERE(ANSWER) HERE

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WHAT OR WHO IS THE WHAT OR WHO IS THE FINAL ANSWER?FINAL ANSWER?

FINAL CATEGORYFINAL CATEGORY

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END OF GAMEEND OF GAME

Daily Doubles and

usage notes follow...

Contestant 1

Contestant 2

Contestant 3

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JEOPARDY! Slide ShowSetup

• The font for the question & answer slides is “Enchanted;” a copy of this font in located in the “REAL Jeopardy Template” folder or included in the “jeopardy_pc.zip” file. (This font will need to be installed in the C:/WINDOWS/FONTS folder of the computer running the show.) In order to keep all of the sounds and fonts together, copy the entire “REAL Jeopardy Template” folder or “jeopardy_pc.zip” file.

• To change the categories:

– 1. Go to the “Edit”menu and choose “Replace…”

– 2. In the Find box, type CATEGORY X (X being 1 through 5) (all caps).

– 3. In the Replace box, type the category in all caps (for example, PRESIDENTS).

– 4. Click Replace All…

• To change the dollar values (for example to create Double Jeopardy):

– 1. Go to the “Edit” menu and choose “Replace…”

– 2. In the Find box, type $X (the dollar value you want to change).

– 3. In the Replace box, type the new dollar value (with $).

– 4. Click Replace All...

JEOPARDY! Slide ShowSetup continued

• To set up the Daily Double:

– 1. Choose which dollar value(s) to set as Daily Double (normally, Jeopardy has one Daily Double, and Double Jeopardy has two).

– 2. Go to the Game Board slide (Slide 8), right click once on the dollar value for the appropriate question, choose Hyperlink, and choose Edit Hyperlink.

– 3. In the Edit Hyperlink window, go to “Named location in file” and click “Browse…”

– 4. In the Hyperlink to Slide window, scroll down to the appropriate slide; Slides 64 and 65 are regular Daily Doubles, Slide 66 is an Audio Daily Double, Slide 67 is a Video Daily Double. Click “OK.”

– 5. Go to the Daily Double slide just linked to, and right click once on the answer arrow at the bottom right, choose Hyperlink, and choose Edit Hyperlink.

– 6. In the Action Settings window, make sure the Hyperlink button (to the left of “Hyperlink”) is selected, and in the select box underneath choose “Slide…”

– 7. In the Hyperlink to Slide window, scroll down to the appropriate question slide (the original slide number of the question).

• NOTE: Using the Audio and Video Daily Doubles requires adding audio or video/picture clips to the question slides. If you are not familiar with doing this in PowerPoint, do not use those Daily Doubles.

Running the JEOPARDY! Slide Show

• On the game board with the categories on top (Slide 8), click on the desired dollar value. (The first game board is used only to blink in the dollar values like the show.)

• The question slide will pop up; the slides are timed with an eight-second timer. At the end of the timer, an alarm will chime.

• ICONS:

– ? Go to the answer screen.

– House Go back to the game board.

– Right Arrow (on Daily Doubles) Go to the question screen.

– Right Arrow w/ Bar (on Game Board) Go to the Final Jeopardy category.

– Turned-up Arrow Reload question screen after incorrect guess.

– $ Go to the Scoreboard slide.

– Left Arrow (on Scoreboard) Go to the previous slide.

$100

Documents

Transcript of $100