Answer these questions in order
QUESTION 1 Two six-sided dice are rolled. What is the probability of one of the dice being a 4? o a. , or 25% ob. , or about 33.3%% o c. . or about 16.7% 11 od. 36 , or about 30.6% QUESTION 2 their career? The frequency table below shows the intended careers among an incoming class of 1"-year college students. If a student is chosen at random, what is the probability that he or she is undecided about Career Number Engineering Medical Doctor / Surgeon 615 Business Executive 723 191 Lawyer or Judge 177 Research Scientist Undecided 205 564 Other TOTAL 2189 4663 O a. 4.4% O b. 12.1%% O C. 28.7% O d.47%QUESTION 3 categorized as "Other"? The frequency table below shows the intended careers among an incoming class of 13-year college students. If a student is chosen at random, what is the probability that he or she intends on a career that was Career Number Engineering Medical Doctor / Surgeon $15 Business Executive 723 Lawyer or Judge 191 Research Scientist 177 Undecided 205 564 Other TOTAL 2188 4663 o a. 28.7% o b.4.4% OC. 44% o d.47% QUESTION 4 A cloth sack contains 25 red beads, 75 green beads, and 50 blue beads. If a single bead is drawn at random, what is the probability that it will be blue? o a. -, or about 66.6% ob. , or 75% o c. , or 50% od. , or about 33.3% QUESTION S Two six-sided dice are rolled. What is the probability of the total being less than or equal to 4? o a. 7, or 25% ob. , or about 30.6% oc. , or about 16.7% od. T, or about 33.3%QUESTION 6 Referring to the table below, what is the probability of someone in the survey either owning a dog or being male? Percent of people responding to a survey about pet ownership Male Female TOTAL Owns a dog 12.5% 15.278% Does not own a dog 27.778% 32.5% 39.722% TOTAL 45% 72.222% 55% 100% o a. 72.778% o b. 12.5% o c. 60.278% o d. 100%% QUESTION 7 Referring to the table below, what's the probability of someone in the survey being either older than 30 or not owning a car? Percent of people responding to a survey about car ownership Younger than 30 Older than 30 Owns a car TOTAL 0.26 0.39 Does not own a car 0.65 D.14 0.21 TOTAL 0.35 0.40 0.60 1.00 oa. 21%% o b. 74% o c. 95% o d. 26% QUESTION 8 Referring to the table below, are the events "Is female" and "Owns a dog" independent? Percent of people responding to a survey about pet ownership Male Female TOTAL Owns a dog 12.5% 15.278% 27.778% Does not own a dog 32.5% 39.722% TOTAL 72.222% 45% 55% 100% o a. No, they are not independent o b. Yes, they are independentQUESTION 9 A card drawn at random from a standard 52-card deck has a | chance of being an Ace. What is the probability of the card not being an Ace? o a. 7 o b. T O C. od. QUESTION 10 Referring to the table below, are the events "Father born in Michigan" and "Mother bom in Michigan" independent? Study of students' parents' birthplaces at a Michigan college Father born in Michigan Mother born in Michigan Father not born in Michigan TOTAL 29% 14% Mother not born in Michigan 19% 73% 8% TOTAL 27% 48% 52% 100% o a. Yes, they are independent o b. No, they are not independent QUESTION 11 If 18% of the beads in a bag are green, 25% are red, and 40% are purple, what is the probability of choosing a green bead and then a purple bead, if you replace the bead in between? o a. 22%% ob. 7.2% o c. 58%% o d. 4.5% QUESTION 12 The weather forecast says that the probability of it being cloudy tomorrow is 30% and the probability of it raining is 25%%. If it's cloudy, the probability of it raining is 45%. What's the probability of it being cloudy and rainy? oa. 15% ob. 7.5% o c. 11.25% o d. 13.5%QUESTION 13 rainy, if you know it will be cloudy? The weather forecast says that the probability of it being cloudy tomorrow is 30%, the probability of it being rainy is 15%%, and the probability of it being both cloudy and rainy is 14%. What is the probability of it being o a. About 46.67% o b. About 21.43% o c. About 4.5% o d. About 93.3% QUESTION 14 Jeffrey estimates that there's a 40% chance he'll eat pizza for dinner, a 60% chance he'll drink cola, and a 30% he'll eat pizza and drink cola. What's the probability of Jeffrey eating pizza, if he drinks cola? o a. 24%% ob. 50%% o C. 75%% o d. 13.33% QUESTION 15 According to a political polling firm, the probability of Candidate A winning the Democratic primary is 60%. If she wins the Democratic primary, the probability of her winning the general election is 54%. What is the probability of her winning the Democratic primary and then the general election? 0 3. 90%% o b. 32.4% o c. 6%% o d. 11.11% QUESTION 16 rainy? The weather forecast says that the probability of it being cloudy tomorrow is 30% and the probability of it raining is 25%%. If it rains, the probability of it being cloudy is 95%%. What's the probability of it being cloudy and o a. 28.5% o b. 23.75% o c. 83.33% o d. 7.5%QUESTION 17 The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds. Assume that the weights of the cars passing over the bridge are normally distributed. Use a calculator to find the probability that the weight of a randomly-selected car passing over the bridge is more than 4,000 pounds. o a. 39.34% ob. 50%% o c. 30.42% o d. 69.58% QUESTION 18 The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds. Assume that the weights of the cars passing over the bridge are normally distributed. What is z-score corresponding to a car that weighs 4100 pounds? o a. 0.910 o b. 1.155 o c. 4.712 o d. 0.632 QUESTION 19 The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds. Assume that the weights of the cars passing over the bridge are normally distributed. Use a calculator to find the probability that the weight of a randomly-selected car passing over the bridge is less than 3,000 pounds. o a. 47.13% o b. choice o c. 25.93% o d. 74.07% QUESTION 20 SAT scores were originally scaled so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100. Assuming that this scaling still applies, Use a calculator to find the probability that a randomly-selected SAT student scores more than 620. o a. 61.6% o b. 38.4% o C. 88.4% o d. 11.6%QUESTION 21 SAT scores were originally scaled so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100. Use the empirical rule to estimate the probability that a randomly-selected student gets a section score of 700 or better. o a. 97.5% ob.5%% O C. 95% o d. 2.5% QUESTION 22 Ted works in the digital acquisitions department of the Vindale Public Library. The library is looking into switching some of its holdings to a digital format. As part of a preliminary study, Ted randomly chose 150 books from the library's collection and found that 73 of them are available as e-books. Estimate the proportion of the library's collection that are available as e-books, including a margin of error. O C. METS -BIDS o d. None of these QUESTION 23 Rachel is conducting a study in her cognitive psychology lab about people's ability to remember rhythms. She played a short rhythm to 425 randomly chosen people. One minute later, she asked them to repeat it by clapping. If 121 people were able to successfully reproduce the rhythm, estimate the proportion of the population (including margin of error) that would be able to successfully reproduce the rhythm. 0 3. MATS.LMS O C. MATS. LITE o d. None of these QUESTION 24 During his summer internship at a major publishing house, Abe prepared a report on contemporary young-adult fiction. As part of his research, Abe looked at 75 randomly chosen young-adult novels published last year and noted whether they include a love triangle or not. He found that 59 of the 75 did. Estimate the proportion of young-adult novels that include a love triangle, including a margin of error. o d. None of theseQUESTION 25 A random sample of size 175 is drawn from a large population. The population standard deviation is 13.6. The sample mean is 87.3. Estimate the size of the population mean, including margin of error. OC. HT.3. LOS o d. 873 2.on QUESTION 26 A random sample of 16 light bulbs has a mean life of 650 hours and a standard deviation of 32 hours. Assume the population has a normal distribution. Construct a 95% confidence interval for the population mean. O C. 61245 58 QUESTION 27 The average salary for new college graduates with a job is $50,556. A particular University wants to claim that its graduates earn more than average. To test this claim, they randomly select 100 of their new graduates and find that their average salary is $53,200 with a standard deviation of $20,400. What conclusion should they draw? a. Do not reject the null hypothesis; their graduates earn more on average o b. Reject the null hypothesis; their graduates earn more on average o C. Do not reject the null hypothesis; their graduates do not earn more on average o d. Reject the null hypothesis; their graduates do not earn more on average QUESTION 28 The average salary for new college graduates with a job is $50,556. A particular University wants to claim that its graduates earn more than average. To test this claim, they randomly select 100 of their new graduates and find that their average salary is $53,200 with a standard deviation of $10,200. What conclusion should they draw? a. Do not reject the null hypothesis; their graduates do not earn more on average b. Reject the null hypothesis; their graduates do not earn more on average o c. Do not reject the null hypothesis; their graduates earn more on average o d. Reject the null hypothesis; their graduates earn more on averageQUESTION 29 In a given year, the rate of flu infection for the general public was 8.3%. In sample of 200 people who received the flu vaccine, the rate of flu infection was just 6.5%. What conclusion should you draw? o a. Reject the null hypothesis; flu rates for vaccinated people are lower o b. Do not reject the null hypothesis; flu rates for vaccinated people are not lower o c. Reject the null hypothesis; flu rates for vaccinated people are not lower o d. Do not reject the null hypothesis; flu rates for vaccinated people are lower QUESTION 30 In a given year, the rate of flu infection for the general public was 8.3%. In sample of 200 people who received the flu vaccine, the rate of flu infection was just 3.5%. What conclusion should you draw? o a. Do not reject the null hypothesis; flu rates for vaccinated people are not lower o b. Reject the null hypothesis; flu rates for vaccinated people are lower o c. Reject the null hypothesis; flu rates for vaccinated people are not lower o d. Do not reject the null hypothesis; flu rates for vaccinated people are lower
