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Algebra 2 Ch10 and 11 Spring Review Name: _______________________1.You spin a spinner with six equal spaces and roll a ten-sided die. How many possible outcomes are in the sample space?____2.A number is randomly chosen between 1 and 99. What is the probability that the number is not a multiple of 5?a.c.b.d.____3.A research study asked 1800 homeowners how many bedrooms were in their homes. The results are shown in the table below. What is the probability that a homeowner chosen at random has 4 bedrooms?Number of BedroomsNumber of Homeowners2 or less234375645405 or more270a.about 42%c.about 13%b.about 15%d.about 30%____4.You play a game that requires rolling a six-sided die then randomly choosing a colored card from a deck containing 8 red cards, 10 blue cards, and 3 yellow cards. Find the probability that you will roll a 3 on the die and then choose a blue card.a.c.b.d.5.A girl and a boy each randomly grab a piece of candy from a bowl containing 6 pieces of chocolate, 6 fruit chews, 8 lollipops, and 7 peppermints. Find the probability that both events A and B will occur. Give your answer as a fraction in reduced form.Event A: A girl grabs a peppermintEvent B: A boy grabs a fruit chew____6.A number is randomly chosen between 1 and 10. Then, a number is randomly chosen between 11 and 20. Find the probability of choosing two even numbers.Choose all the situations below that have a higher probability than the situation described above.a.A board game uses 6 jewel cards and 7 coin cards. Two cards are randomly drawn. Find the probability that both events A and B will occur.Event A: The first card is a coin card.Event B: The second card is a coin card.b.A group of 10 men and 18 women are asked if they are right or left handed. Below is a summary of their answers.Men: 7 Right, 3 LeftWomen: 14 Right, 4 LeftFind the probability that a randomly selected right-hander is a woman.c.Two grapes are selected from a bowl containing 15 red grapes and 15 green grapes. Find the probability that both grapes are red when you do not replace the first grape before selecting the second.d.At an appliance store, 38% of customers purchase a washing machine. 26% of customers buy both a washer and a dryer. Find the probability that a customer who buys a washer also buys a dryer.7.You randomly survey 165 men and 135 women at a fitness center and ask if they regularly attend an exercise class. Of those surveyed, 78 men and 94 women do regularly attend a class. Organize these results in a two-way table. Then find and interpret the marginal frequencies.____8.You spin a spinner with 7 equal spaces numbered 1 through 7. What is the probability that the spinner lands on a 4 or a 6.a.c.b.d.9.One letter tile is randomly drawn from a set of 26 alphabet tiles representing letters A through Z. What is the probability that the letter drawn is a consonant or is in the word “trail”? Give your answer as a fraction in reduced form.____10. In how many ways can you arrange 3 of the numerals 1 through 5?a.120c.15b.60d.6____11.In how many ways can you arrange all the numerals 1 through 7?a.28c.720b.5040d.49____12.Players on a volleyball team wear jerseys numbered 1 through 13. In how many different ways could you arrange 4 of the players?a.6,227,020,800c.24b.17,160d.362,880____13.Your shirt drawer contains 8 different colored shirts that you will wear over the next 8 days. What is the probability that you will randomly choose the orange shirt to wear today and the red shirt to wear tomorrow?a.c.b.d.____14.A soccer team roster has 15 players on it. How many groups of 11 players can be created?a.24c.54,486,432,000b.1365d.32,760____15.A normal distribution has mean ? and standard deviation ?? An x-value is randomly selected from the distribution. Find .a.0.0015c.0.975b.0.9985d.0.025____16.A normal distribution has mean ? and standard deviation ?? An x-value is randomly selected from the distribution. Find .a.0.9735c.0.0265b.0.975d.0.9985____17.A normal distribution has mean of 74 and standard deviation of 15? Find the probability that a randomly selected x-value from the distribution is at most 119.a.0.025c.0.975b.0.0015d.0.9985____18.A normal distribution has mean of 99 and standard deviation of 14? Find the probability that a randomly selected x-value from the distribution is between 71 and 141.a.0.9735c.0.0265b.0.975d.0.9985____19.A study finds that the number of gallons of water used each month per household in a residential neighborhood are normally distributed with a mean of 450?gallons and a standard deviation of 50?gallons. A household is randomly selected. What is the probability that the household uses 560?gallons of water or less per month?a.0.9861c.0.4861b.0.0139d.0.9821____20.Determine whether the histogram has a normal distribution.a.yesb.No____21.In Colorado, a survey of 3076?senior citizens found that 1600 of them watch more than 5 hours of TV each week. Identify the population and the sample.a.The population consists of the responses of all adults in Colorado, and the sample consists of the responses of the 3076?senior citizens in the survey.b.The population consists of the responses of all senior citizens in Colorado, and the sample consists of the responses of the 3076?senior citizens in the survey.c.The population consists of the responses of all senior citizens in Colorado, and the sample consists of the responses of the 1600?senior citizens in the survey.d.The population consists of the responses of the 3076?senior citizens in the survey, and the sample consists of the responses all of senior citizens in Colorado.____22.For all the students in Mr. Lee's math class, the mean of the students' grades is 73%. Is the mean of the students' grades a parameter or a statistic?a.parameterb.statisticIdentify the type of sample described.____23.You want to determine whether students like the new healthy options for the school lunch. You ask every fifth student in line for lunch. a.self-selected b.systematicc.stratifiedd.clustere.convenience____24.You want to determine whether students like the new healthy options for the school lunch. You place questionnaires in lockers and use the ones returned to you. a.self-selected b.systematicc.stratifiedd.clustere.convenience____25.You want to determine whether students like the new healthy options for the school lunch. You ask students in your homeroom. a.self-selected b.systematicc.stratifiedd.clustere.convenience____26.You want to determine whether your neighbors think the speed limit should be lowered in your neighborhood. You randomly select a neighbor from each street in your neighborhood. a.self-selected b.systematicc.stratifiedd.clustere.convenience____27.You want to determine whether your neighbors think the speed limit should be lowered in your neighborhood. You randomly select one block in the neighborhood and ask all the neighbors who live on that block. a.self-selected b.systematicc.stratifiedd.clustere.convenience____28.You want to determine whether your neighbors think the speed limit should be lowered in your neighborhood. You ask every third neighbor. a.self-selected b.systematicc.stratifiedd.clustere.convenience____29.The owner of the local library wants to know whether patrons like the new summer reading programs for kids. The owner leaves questionnaires at the checkout counter and uses the ones returned. a.self-selected b.systematicc.stratifiedd.clustere.convenience____30.The owner of the local library wants to know whether patrons like the new summer reading programs for kids. The owner asks every fourth person who checks out books. a.self-selected b.systematicc.stratifiedd.clustere.convenience____31.The CEO of a company wants to determine whether employees are satisfied with their jobs. The CEO randomly surveys three employees from each department. a.self-selected b.systematicc.stratifiedd.clustere.convenience____32.The CEO of a company wants to determine whether employees are satisfied with their jobs. The CEO sends a link to a survey to all employees and uses the results collected.a.self-selected b.systematicc.stratifiedd.clustere.convenience____33.The CEO of a company wants to determine whether employees are satisfied with their jobs. The CEO asks his assistants.a.self-selected b.systematicc.stratifiedd.clustere.convenience____34.A news writer wants to contact high school coaches to determine whether they think student athletes should have mandatory study time. The writer randomly surveys one coach from each school in the county. a.self-selected b.systematicc.stratifiedd.clustere.convenienceIdentify the method of data collection each situation describes.____35.A gardener waters half of her flower bed and gives special plant food to the other half. The gardener then compares the flowers after five weeks and determines which method is better.a.experimentc.surveyb.observational studyd.simulation____36.An employee of a sport arena asks every sixth person that walks in to the arena whether they like the snacks at the concession stand.a.experimentc.surveyb.observational studyd.simulation____37.A restaurant owner in a food court records whether people take free samples.a.experimentc.surveyb.observational studyd.simulation____38.A researcher uses technology to estimate the effect of a car crash on different car models.a.experimentc.surveyb.observational studyd.simulation____39.A city employee paints half of the park benches with an oil-based paint and half with a latex paint. The employee then compares the benches after six months and determines which method is better.a.experimentc.surveyb.observational studyd.simulation____40.A teacher records whether students do homework or talk during homeroom.a.experimentc.surveyb.observational studyd.simulation____41.A financial advisor uses a computer program to predict the movement of stocks in the stock market.a.experimentc.surveyb.observational studyd.simulation____42.A zoo employee measures and records the heights and weights of animals in a zoo as they grow.a.experimentc.surveyb.observational studyd.simulation43.A game spinner is evenly divided into 9 numbered sections. While playing the game, you get a three on 4 out the first 5 spins. You suspect that the spinner favors the number three. The game maker claims that the spinner is fair. You simulate spinning 50?times. The histogram shows the results. What should you conclude when you spin 50 times and get (a) 7?threes and (b) 12?threes?Algebra 2 Ch10 and 11 Spring ReviewAnswer Section1.ANS:60PTS:1DIF:Level 1REF:Algebra 2 Sec. 10.1NAT:HSS-CP.A.1KEY:sample space | outcome | applicationNOT:Example 12.ANS:APTS:1DIF:Level 1REF:Algebra 2 Sec. 10.1NAT:HSS-CP.A.1KEY:theoretical probability | probability of the complement of an event | applicationNOT:Example 33.ANS:DPTS:1DIF:Level 1REF:Algebra 2 Sec. 10.1NAT:HSS-CP.A.1KEY:experimental probability | application NOT:Example 64.ANS:BPTS:1DIF:Level 1REF:Algebra 2 Sec. 10.2NAT:HSS-CP.A.1 | HSS-CP.A.2 | HSS-CP.A.3 | HSS-CP.A.5 | HSS-CP.B.6 | HSS-CP.B.8KEY:independent events | application | probability of independent eventsNOT:Example 35.ANS:7/117PTS:1DIF:Level 1REF:Algebra 2 Sec. 10.2NAT:HSS-CP.A.1 | HSS-CP.A.2 | HSS-CP.A.3 | HSS-CP.A.5 | HSS-CP.B.6 | HSS-CP.B.8KEY:dependent events | application | probability of dependent eventsNOT:Example 46.ANS:A, B, DPTS:1DIF:Level 2REF:Algebra 2 Sec. 10.2NAT:HSS-CP.A.1 | HSS-CP.A.2 | HSS-CP.A.3 | HSS-CP.A.5 | HSS-CP.B.6 | HSS-CP.B.8KEY:conditional probability | application | dependent events | probability of dependent events | independent events | probability of independent eventsNOT:Combined Concept7.ANS:Exercise Class AttendanceAttendDo Not AttendTotalGenderMen7887165Women9441135Total172128300300 people were surveyed, 172 attend an exercise class regularly, 128 do not regularly attend an exercise class, 165 men were surveyed, 135 women were surveyed.PTS:1DIF:Level 1REF:Algebra 2 Sec. 10.3NAT:HSS-CP.A.4KEY:two-way table | application | making two-way tablesNOT:Example 18.ANS:CPTS:1DIF:Level 1REF:Algebra 2 Sec. 10.4NAT:HSS-CP.A.1 | HSS-CP.B.7KEY:application | compound event | disjoint | finding probabilities of compound eventsNOT:Example 19.ANS:23/26PTS:1DIF:Level 1REF:Algebra 2 Sec. 10.4NAT:HSS-CP.A.1 | HSS-CP.B.7KEY:application | compound event | overlapping eventsNOT:Example 210.ANS:BPTS:1DIF:Level 1REF:Algebra 2 Sec. 10.5NAT:HSS-CP.B.9KEY:permutationNOT:Example 111.ANS:BPTS:1DIF:Level 1REF:Algebra 2 Sec. 10.5NAT:HSS-CP.B.9KEY:permutationNOT:Example 112.ANS:BPTS:1DIF:Level 1REF:Algebra 2 Sec. 10.5NAT:HSS-CP.B.9KEY:permutation | applicationNOT:Example 213.ANS:DPTS:1DIF:Level 2REF:Algebra 2 Sec. 10.5NAT:HSS-CP.B.9KEY:permutation | applicationNOT:Example 314.ANS:BPTS:1DIF:Level 1REF:Algebra 2 Sec. 10.5NAT:HSS-CP.B.9KEY:combination | applicationNOT:Example 515.ANS:CPTS:1DIF:Level 1REF:Algebra 2 Sec. 11.1NAT:HSS-ID.A.4KEY:normal distribution | calculating probabilitiesNOT:Example 116.ANS:APTS:1DIF:Level 1REF:Algebra 2 Sec. 11.1NAT:HSS-ID.A.4KEY:normal distribution | calculating probabilitiesNOT:Example 117.ANS:DPTS:1DIF:Level 1REF:Algebra 2 Sec. 11.1NAT:HSS-ID.A.4KEY:normal distribution | calculating probabilitiesNOT:Example 118.ANS:APTS:1DIF:Level 1REF:Algebra 2 Sec. 11.1NAT:HSS-ID.A.4KEY:normal distribution | calculating probabilitiesNOT:Example 119.ANS:APTS:1DIF:Level 1REF:Algebra 2 Sec. 11.1NAT:HSS-ID.A.4KEY:normal distribution | application | standard normal table | z-scoreNOT:Example 320.ANS:APTS:1DIF:Level 1REF:Algebra 2 Sec. 11.1NAT:HSS-ID.A.4KEY:recognizing normal distributions | applicationNOT:Example 421.ANS:BPTS:1DIF:Level 1REF:Algebra 2 Sec. 11.2NAT:HSS-IC.A.2 | HSS-IC.A.1KEY:population | sample | distinguishing between populations and samples | applicationNOT:Example 122.ANS:APTS:1DIF:Level 1REF:Algebra 2 Sec. 11.2NAT:HSS-IC.A.2 | HSS-IC.A.1KEY:parameter | statistic | applicationNOT:Example 223.ANS:BPTS:1DIF:Level 1REF:Algebra 2 Sec. 11.3NAT:HSS-IC.A.1 | HSS-IC.B.3KEY:sampleNOT:Example 124.ANS:APTS:1DIF:Level 1REF:Algebra 2 Sec. 11.3NAT:HSS-IC.A.1 | HSS-IC.B.3KEY:sampleNOT:Example 125.ANS:EPTS:1DIF:Level 1REF:Algebra 2 Sec. 11.3NAT:HSS-IC.A.1 | HSS-IC.B.3KEY:sampleNOT:Example 126.ANS:CPTS:1DIF:Level 1REF:Algebra 2 Sec. 11.3NAT:HSS-IC.A.1 | HSS-IC.B.3KEY:sampleNOT:Example 127.ANS:DPTS:1DIF:Level 1REF:Algebra 2 Sec. 11.3NAT:HSS-IC.A.1 | HSS-IC.B.3KEY:sampleNOT:Example 128.ANS:BPTS:1DIF:Level 1REF:Algebra 2 Sec. 11.3NAT:HSS-IC.A.1 | HSS-IC.B.3KEY:sampleNOT:Example 129.ANS:APTS:1DIF:Level 1REF:Algebra 2 Sec. 11.3NAT:HSS-IC.A.1 | HSS-IC.B.3KEY:sampleNOT:Example 130.ANS:BPTS:1DIF:Level 1REF:Algebra 2 Sec. 11.3NAT:HSS-IC.A.1 | HSS-IC.B.3KEY:sampleNOT:Example 131.ANS:CPTS:1DIF:Level 1REF:Algebra 2 Sec. 11.3NAT:HSS-IC.A.1 | HSS-IC.B.3KEY:sampleNOT:Example 132.ANS:APTS:1DIF:Level 1REF:Algebra 2 Sec. 11.3NAT:HSS-IC.A.1 | HSS-IC.B.3KEY:sampleNOT:Example 133.ANS:EPTS:1DIF:Level 1REF:Algebra 2 Sec. 11.3NAT:HSS-IC.A.1 | HSS-IC.B.3KEY:sampleNOT:Example 134.ANS:CPTS:1DIF:Level 1REF:Algebra 2 Sec. 11.3NAT:HSS-IC.A.1 | HSS-IC.B.3KEY:sampleNOT:Example 135.ANS:APTS:1DIF:Level 1REF:Algebra 2 Sec. 11.3NAT:HSS-IC.A.1 | HSS-IC.B.3KEY:sample | identifying methods of data collectionNOT:Example 436.ANS:CPTS:1DIF:Level 1REF:Algebra 2 Sec. 11.3NAT:HSS-IC.A.1 | HSS-IC.B.3KEY:sample | identifying methods of data collectionNOT:Example 437.ANS:BPTS:1DIF:Level 1REF:Algebra 2 Sec. 11.3NAT:HSS-IC.A.1 | HSS-IC.B.3KEY:sample | identifying methods of data collectionNOT:Example 438.ANS:DPTS:1DIF:Level 1REF:Algebra 2 Sec. 11.3NAT:HSS-IC.A.1 | HSS-IC.B.3KEY:sample | identifying methods of data collectionNOT:Example 439.ANS:APTS:1DIF:Level 1REF:Algebra 2 Sec. 11.3NAT:HSS-IC.A.1 | HSS-IC.B.3KEY:sample | identifying methods of data collectionNOT:Example 440.ANS:BPTS:1DIF:Level 1REF:Algebra 2 Sec. 11.3NAT:HSS-IC.A.1 | HSS-IC.B.3KEY:sample | identifying methods of data collectionNOT:Example 441.ANS:DPTS:1DIF:Level 1REF:Algebra 2 Sec. 11.3NAT:HSS-IC.A.1 | HSS-IC.B.3KEY:sample | identifying methods of data collectionNOT:Example 442.ANS:BPTS:1DIF:Level 1REF:Algebra 2 Sec. 11.3NAT:HSS-IC.A.1 | HSS-IC.B.3KEY:sample | identifying methods of data collectionNOT:Example 443.ANS:a. The maker’s claim is most likely true.b. The maker’s claim is most likely false.PTS:1DIF:Level 2REF:Algebra 2 Sec. 11.2NAT:HSS-IC.A.2 | HSS-IC.A.1KEY:analyzing hypotheses | applicationNOT:Example 3-244.ANS:a. The company’s claim is probably not accurate. b. The company’s claim is probably accurate.c. Sample answer: 95% of the time, a sample proportion should lie in the interval from 0.46 to 0.74.PTS:1DIF:Level 3REF:Algebra 2 Sec. 11.5NAT:HSS-IC.A.2 | HSS-IC.B.4KEY:application | analyzing estimated population parametersNOT:Example 3 ................
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