Probability and Statistics Review

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Probability and Statistics Review. The Chapter 10 test is on Friday and the project is due next week. 5 th pd – Wednesday, April 2nd 8 th pd – Monday, March 31st. You roll a standard number cube. Find P (number greater than 1). Fastest Responders (in seconds). - PowerPoint PPT Presentation

Transcript of Probability and Statistics Review

Probability and Statistics Review

The Chapter 10 test is on Friday and the project is due next week.

5th pd – Wednesday, April 2nd

8th pd – Monday, March 31st

You roll a standard number cube. Find P(number greater than 1)

1.

2.

3.

4.

56

65

61

1

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

Fastest Responders (in seconds)

Teesha is in the French club. There are 26 students in the club. The French teacher will pick 3 students at random to guide visiting students from France. What is the probability that Teesha will not

be picked as a guide?

1.

2.

3.

4.

263

2629

2623

293

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

Fastest Responders (in seconds)

You have the numbers 1–24 written on slips of paper. If you choose one slip at random, what is the probability

that you will not select a number which is divisible by 3?

1.

2.

3.

4.

83

31

85

32

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

Fastest Responders (in seconds)

The probability of the complement of an event is ____ less than the probability of the

event itself.1. sometimes2. always3. never

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

Fastest Responders (in seconds)

Participant Scores

In a batch of 960 calculators, 8 were found to be defective. What is the probability that a calculator chosen at random will be defective? Write the probability as a percent. Round

to the nearest tenth of a percent.

1. 74.4%2. 0.8%3. 99.2%4. 1.1%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

Fastest Responders (in seconds)

A cell phone company orders 500 new phones from a manufacturer. If the probability of a phone being defective is 2.6%, predict how many of the phones are likely to be

defective. Round to the nearest whole number.

1. 16 phones2. 13 phones3. 11 phones4. 130 phones

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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Fastest Responders (in seconds)

If you roll a number cube 60 times and use the results to calculate the experimental probability of rolling a 1, the

experimental probability of rolling a 1 will ____ be less than the theoretical probability of rolling a 1.

1. sometimes2. always3. never

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

Fastest Responders (in seconds)

You toss a coin and roll a number cube. Find P(heads and an even number).

1.

2.

3.

4.

121

41

61

1

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

Fastest Responders (in seconds)

Participant Scores

Suppose you choose a marble from a bag containing 2 red marbles, 5 white marbles, and 3 blue marbles. You

return the first marble to the bag and then choose again. Find P(red and blue).

1.

2.

3.

4.

53

107

21

503

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

Fastest Responders (in seconds)

In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 21 vowels and 15

consonants, what is the probability you will choose a consonant and then a vowel?

835

435

14435

361

1.

2.

3.

4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

Fastest Responders (in seconds)

If A and B are independent events and P(A) and P(B) are both greater than ½ , then P(A and B) is ____ greater than 1.

1. sometimes2. always3. never

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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Fastest Responders (in seconds)

You have three $1 bills, four $5 bills, and two $10 bills in your wallet. You select a bill at random. Without

replacing the bill, you choose a second bill at random. Find P($10 then $1).

121

815

725

272

1.

2.

3.

4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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Fastest Responders (in seconds)

Participant Scores

A basket contains 11 pieces of fruit: 4 apples, 5 oranges, and 2 bananas. Jonas takes a piece of fruit at random

from the basket, and then Beth takes a piece at random. What is the probability that Jonas will get an orange and

Beth will get an apple?

109

119

12120

112

1.

2.

3.

4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

Fastest Responders (in seconds)

Thomas, Jenna, and Maria are playing a game. They have a bag that contains 42 white tiles and 4 red tiles. Each player takes turns

picking a tile at random and does not return the tiles to the bag. The player who draws a red tile first is the winner. In the first

round, Thomas goes first, then Jenna, and then Maria, and none of them draws a red tile. What is the probability that Thomas will

win the game on his second turn?

212

434

232

454

1.

2.

3.

4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

Fastest Responders (in seconds)

Which type of video was rented most

often? Use the graph to find the answer.

1. Comedy2. Children’s3. Action4. Drama1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

Fastest Responders (in seconds)

What percent of the movies rented were

comedy movies? Use the graph to find the

answer.

1. 10%2. 15%3. 45%4. 30%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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Fastest Responders (in seconds)

Participant Scores

The cumulative frequencies of each

interval have been given. Use this information to complete the frequency

column.

Interval Frequency Cumulative Frequency

45–52 ? 6

53–60 ? 23

61–68 ? 32

69–76 ? 41

77–84 ? 75

85–92 ? 134

1. 6, 17, 9, 9, 34, 592. 7, 30, 39, 48, 82, 1413. 6, 17, 6, 26, 15, 60, 744. 7, 16, 16, 25, 50, 841 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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Fastest Responders (in seconds)

List a set of data values that can be represented by the box-and-whisker plot shown.

1. 4, 5, 6, 7, 8, 9, 11, 13, 14, 15, 16

2. 4, 6, 8, 11, 15, 163. 4, 5, 6, 9, 11, 15, 164. 4, 6, 7, 11, 15, 16

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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Fastest Responders (in seconds)

The circle graph shows how the average American family spends its money. Explain why the graph

is misleading.

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21 22 23 24 25 26 27 28 29 30 31 32

1. A family with an annual income of $32,000 spends about $2000 on clothing.

2. The sections of the graph do not add to 100%, so the percent for at least one type of expense is not represented.

3. Some people might believe that transportation is a major expense.4. The amount of money spent on transportation and food exceeds the

amount of money spent on housing.

Fastest Responders (in seconds)

Identify the sample space and the outcome shown for spinning

the game spinner.

1. Sample space: {W, X, Y, Z} Outcome shown: Z

2. Sample space: {V, W, X, Y, Z} Outcome shown: X

3. Sample space: {W, Y, Z} Outcome shown: X

4. Sample space: {W, X, Y, Z} Outcome shown: X

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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Fastest Responders (in seconds)

Participant Scores

An experiment consists of spinning a spinner. Use the results in the table to find the experimental probability that the spinner does not land on purple. Express your answer as a

fraction in simplest form.

1511

52

53

154

1.

2.

3.

4.

Outcome Frequency

red 8

purple 12

yellow 10

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Fastest Responders (in seconds)

A manufacturer inspects 800 personal video players and finds that 798 of them have no defects. What is the experimental

probability that a video player chosen at random has no defects?

1. 99.5%2. 0.25%3. 99.75%4. 97.5

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Fastest Responders (in seconds)

A manufacturer inspects 500 personal video players and finds that 496 of them have no defects. The manufacturer sent a shipment of 2000 video players to a distributor. Predict the number of players in the shipment that are likely to have no

defects.

1. 16

2. 1840

3. 496

4. 19841 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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Fastest Responders (in seconds)

An experiment consists of rolling a number cube. Find the theoretical probability of rolling a number greater than 4. Express your answer as a fraction in simplest

form.

1.

2.

3.

4.

32

61

21

31

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Fastest Responders (in seconds)

Participant Scores

In an election, 59% of the voters voted for a new school tax. What is the probability (as a percentage) that a randomly-selected voter did not vote for the tax?

1. 44%2. 41%3. 59%4. 31%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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Fastest Responders (in seconds)

At a carnival game, you may win an inflatable crayon, you may win a small stuffed animal, or you may win

nothing at all. If the probability of winning nothing is 0.69 and the probability of winning a small stuffed animal is

0.17, what is the probability of winning an inflatable crayon?

1. 0.142. 0.313. 0.864. 0.83

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Fastest Responders (in seconds)

The probability of drawing a green marble from a marble bag is 40%. What are the odds in favor of drawing a green marble?

1. 5:22. 3:23. 2:34. 2:5

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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Fastest Responders (in seconds)

A grab bag contains 3 football cards and 7 basketball cards. An experiment consists of taking one card out of the bag, replacing it, and

then selecting another card. What is the probability of selecting a football card and then a basketball card?

1. 0.492. 0.093. 0.214. 0.23

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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Fastest Responders (in seconds)

Participant Scores

Only 3 questions left !!!!!!

Mrs. Green likes to serve two different kinds of vegetables with dinner. She has carrots, peas, okra, and green beans in her refrigerator. How many different sets

of two vegetables can she serve? Tell whether this situation is a combination or a permutation.

1. 6, combination2. 12, combination3. 6, permutation4. 12, permutation

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Fastest Responders (in seconds)

0 Participant 10 Participant 20 Participant 30 Participant 40 Participant 5

0% 0%0%0%

There are 8 singers competing at a talent show. In how many different orders can the singers

appear?

1. 5,0402. 563. 644. 40,320

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Fastest Responders (in seconds)

0 Participant 10 Participant 20 Participant 30 Participant 40 Participant 5

0% 0%0%0%

Pat has 9 flowerpots, and she wants to plant a different type of flower in each one. There are 11 types of

flowers available at the garden shop. In how many different ways can she choose the flowers?

1. 19,958,4002. 1103. 994. 55

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Fastest Responders (in seconds)

0 Participant 10 Participant 20 Participant 30 Participant 40 Participant 5

Final Scores

0 Participant 10 Participant 20 Participant 30 Participant 40 Participant 5