Probability and Statistics Review
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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
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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
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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
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The probability of the complement of an event is ____ less than the probability of the
event itself.1. sometimes
2. always
3. never
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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%
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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 phones
2. 13 phones
3. 11 phones
4. 130 phones
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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. sometimes
2. always
3. never
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You toss a coin and roll a number cube. Find P(heads and an even number).
1.
2.
3.
4.
121
41
61
1
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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
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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
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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. sometimes
2. always
3. never
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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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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
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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
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Which type of video was rented most
often? Use the graph to find the answer.
1. Comedy
2. Children’s
3. Action
4. Drama1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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What percent of the movies rented were
comedy movies? Use the graph to find the
answer.
1. 10%
2. 15%
3. 45%
4. 30%
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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, 59
2. 7, 30, 39, 48, 82, 141
3. 6, 17, 6, 26, 15, 60, 74
4. 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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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, 16
3. 4, 5, 6, 9, 11, 15, 16
4. 4, 6, 7, 11, 15, 16
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The circle graph shows how the average American family spends its money. Explain why the graph
is misleading.
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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.
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
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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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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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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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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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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%
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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. 0.14
2. 0.31
3. 0.86
4. 0.83
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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. 5:2
2. 3:2
3. 2:3
4. 2:5
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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. 0.49
2. 0.09
3. 0.21
4. 0.23
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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, combination
2. 12, combination
3. 6, permutation
4. 12, permutation
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Fastest Responders (in seconds)
0 Participant 1
0 Participant 2
0 Participant 3
0 Participant 4
0 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. 5,040
2. 56
3. 64
4. 40,320
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Fastest Responders (in seconds)
0 Participant 1
0 Participant 2
0 Participant 3
0 Participant 4
0 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. 19,958,400
2. 110
3. 99
4. 55
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Fastest Responders (in seconds)
0 Participant 1
0 Participant 2
0 Participant 3
0 Participant 4
0 Participant 5