Statistics and Probability

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Mathematics

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Test Question – Probability 1) A fair die is rolled and a coin is flipped. Determine the probability that a 5 is rolled and a tail shows. 2) License plates are made using 3 letters followed by 2 digits. How many plates can be made if repetition of letters and digits are allowed? 3) How many ways can an IRS auditor select 3 of 8 returns for an audit? 4) There are 9 members on a board of directors. If they must elect a chairperson, a secretary, and a treasurer, how many different slates of candidates are possible? 5) If a five-sided die is rolled 3 times, how many different three-digit sequences are possible? Chapter *u Test 6 F *-^^tlL " MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. CoInplete the table and use it to calculate the indicated relative frequency. Round your answer to three decimal places necessary. 1) The following table displays the age in years, and sex for the residents of a retirement horne. 1) Age (years) 50-69 Male Female Total Over 70-79 1 2 5 19 9 4 {-- 79 4D \ J Total What is the relative frequenry for males in the age group 60-69? A) 0.1 B) 0 C) 0.05 D) 0.025 2) The following table displays the age, in years, and sex for the residents of a retirement Age (years) 60-69 70-79 Over 79 Total Male 17 2 5 Female 2) 4 9 3 home. Total What is the relative frequency for males? A)1 c) B) 0.5 D) 0.55 1,.2 Use the table to deterrrine the probability. Round your answer lo three decimal places if necessary. 3) The following table displays the age in years, and sex for the residmts of a retirement Age (years) home. Male Female Over 60-69 70-79 4 2 5 1,6 9 4 79 3) Total Total What is the probability that a resident is female? A) 0.72 c) B) 0.735 D) 0.72s 0.729 4) The following table displays the age, in yearg and sex for the residents of a retirement Age (years) Over 60-59 70-79 Male 0.24 0.1 0.06 Female 0.2 0.1 0.3 79 Total \Atrhat A) home. Total 1 is the probability that a resident is in the age group 60-69? 0.44 B) 0.42 c) .7 0.47 D) 0.4s5 4) if 5) Students in a political science course were asked to describe their politics as "Liberal", or "Conseryative." The results are displayed in the following table. Politics 33357 37 48 "Moderate", 5) 20 What is the probability that a selected student is a male who is considered a Liberal? D) 0.38e c) 0.205 B) 0.44 A) 0.3s2 6) The following table displays the age, in years, and sex for the residents of a retirement home. 6) Age (years) Over 60-69 70-79 Male 0.18 0.1 0.12 Female 0.2 0.1 0.3 Total 79 Total 1 What is the probability that a resident is male and in the age group 60-79? A) 0.28 4 c) 0.3 B) 0.27 D) 0.29s Th" table gives the number of degrees eamed in a certain university in the 2007-2008 academic n year. Bachelor's Master's Professional Female Male 712 489 Doctorate 47 53 2M 1,67 Total 'l.,4 18 Total If a student receiving a degree is randomly selected, what is the probability the degree recipient selected is a female or earned a Doctorate? B) 0.014 A) 0.593 c) 0.008 D) 0.601 Find the indicated probability. Leave your answer in fractional form unless otherwise indicated. 8) A bag contains 10 marbles: 2 red 3 blue and 5 green. One marble is selected at random. Find - 8) P(blue). A)+ J B)* c)+ ")+ 9) A class consists of 68 female students and 80 male students. One student is selected at random. \Atrhat is the probability that the student is female? A)# c)# B)# D)# 10) During a recent quality analysig a production engineer determined that the probability that a , completed computer chip failed the quality test was 0.06. What is the probability that a completed computer chip passes the quality test? Estimate the probability to two decimal places if necessary. A) 0.16 B) 0.06 , c) 0.94 e) D) 0.s 10) Test Question – Probability 1) A fair die is rolled and a coin is flipped. Determine the probability that a 5 is rolled and a tail shows. 2) License plates are made using 3 letters followed by 2 digits. How many plates can be made if repetition of letters and digits are allowed? 3) How many ways can an IRS auditor select 3 of 8 returns for an audit? 4) There are 9 members on a board of directors. If they must elect a chairperson, a secretary, and a treasurer, how many different slates of candidates are possible? 5) If a five-sided die is rolled 3 times, how many different three-digit sequences are possible? Chapter *u Test 6 F *-^^tlL " MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. CoInplete the table and use it to calculate the indicated relative frequency. Round your answer to three decimal places necessary. 1) The following table displays the age in years, and sex for the residents of a retirement horne. 1) Age (years) 50-69 Male Female Total Over 70-79 1 2 5 19 9 4 {-- 79 4D \ J Total What is the relative frequenry for males in the age group 60-69? A) 0.1 B) 0 C) 0.05 D) 0.025 2) The following table displays the age, in years, and sex for the residents of a retirement Age (years) 60-69 70-79 Over 79 Total Male 17 2 5 Female 2) 4 9 3 home. Total What is the relative frequency for males? A)1 c) B) 0.5 D) 0.55 1,.2 Use the table to deterrrine the probability. Round your answer lo three decimal places if necessary. 3) The following table displays the age in years, and sex for the residmts of a retirement Age (years) home. Male Female Over 60-69 70-79 4 2 5 1,6 9 4 79 3) Total Total What is the probability that a resident is female? A) 0.72 c) B) 0.735 D) 0.72s 0.729 4) The following table displays the age, in yearg and sex for the residents of a retirement Age (years) Over 60-59 70-79 Male 0.24 0.1 0.06 Female 0.2 0.1 0.3 79 Total \Atrhat A) home. Total 1 is the probability that a resident is in the age group 60-69? 0.44 B) 0.42 c) .7 0.47 D) 0.4s5 4) if 5) Students in a political science course were asked to describe their politics as "Liberal", or "Conseryative." The results are displayed in the following table. Politics 33357 37 48 "Moderate", 5) 20 What is the probability that a selected student is a male who is considered a Liberal? D) 0.38e c) 0.205 B) 0.44 A) 0.3s2 6) The following table displays the age, in years, and sex for the residents of a retirement home. 6) Age (years) Over 60-69 70-79 Male 0.18 0.1 0.12 Female 0.2 0.1 0.3 Total 79 Total 1 What is the probability that a resident is male and in the age group 60-79? A) 0.28 4 c) 0.3 B) 0.27 D) 0.29s Th" table gives the number of degrees eamed in a certain university in the 2007-2008 academic n year. Bachelor's Master's Professional Female Male 712 489 Doctorate 47 53 2M 1,67 Total 'l.,4 18 Total If a student receiving a degree is randomly selected, what is the probability the degree recipient selected is a female or earned a Doctorate? B) 0.014 A) 0.593 c) 0.008 D) 0.601 Find the indicated probability. Leave your answer in fractional form unless otherwise indicated. 8) A bag contains 10 marbles: 2 red 3 blue and 5 green. One marble is selected at random. Find - 8) P(blue). A)+ J B)* c)+ ")+ 9) A class consists of 68 female students and 80 male students. One student is selected at random. \Atrhat is the probability that the student is female? A)# c)# B)# D)# 10) During a recent quality analysig a production engineer determined that the probability that a , completed computer chip failed the quality test was 0.06. What is the probability that a completed computer chip passes the quality test? Estimate the probability to two decimal places if necessary. A) 0.16 B) 0.06 , c) 0.94 e) D) 0.s 10)
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