Probability and Statistics Review

1. 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

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

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4. 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?

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6. 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?

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8. The probability of the complement of an event is ____ less than the probability of the event itself. • sometimes • always • never

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10. Participant Scores

11. 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. • 74.4% • 0.8% • 99.2% • 1.1%

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13. 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. • 16 phones • 13 phones • 11 phones • 130 phones

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15. 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. • sometimes • always • never

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

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20. 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).

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22. 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?

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24. 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. • sometimes • always • never

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26. 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).

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29. 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?

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31. 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?

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33. Which type of video was rented most often? Use the graph to find the answer. • Comedy • Children’s • Action • Drama

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35. What percent of the movies rented were comedy movies? Use the graph to find the answer. • 10% • 15% • 45% • 30%

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38. The cumulative frequencies of each interval have been given. Use this information to complete the frequency column. • 6, 17, 9, 9, 34, 59 • 7, 30, 39, 48, 82, 141 • 6, 17, 6, 26, 15, 60, 74 • 7, 16, 16, 25, 50, 84

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40. List a set of data values that can be represented by the box-and-whisker plot shown. • 4, 5, 6, 7, 8, 9, 11, 13, 14, 15, 16 • 4, 6, 8, 11, 15, 16 • 4, 5, 6, 9, 11, 15, 16 • 4, 6, 7, 11, 15, 16

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42. The circle graph shows how the average American family spends its money. Explain why the graph is misleading. • A family with an annual income of $32,000 spends about $2000 on clothing. • The sections of the graph do not add to 100%, so the percent for at least one type of expense is not represented. • Some people might believe that transportation is a major expense. • The amount of money spent on transportation and food exceeds the amount of money spent on housing.

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44. Identify the sample space and the outcome shown for spinning the game spinner. • Sample space: {W, X, Y, Z} Outcome shown: Z • Sample space: {V, W, X, Y, Z} Outcome shown: X • Sample space: {W, Y, Z} Outcome shown: X • Sample space: {W, X, Y, Z} Outcome shown: X

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47. 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.

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49. 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? • 99.5% • 0.25% • 99.75% • 97.5

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