Question

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Six hundred registered voters were surveyed and asked their political affiliation and whether they support the idea of the Federal Government investing a portion of their social security contributions in the stock market. A summary of the survey is given in the table. If a voter is selected at random, what is the probability that the voter is a republican? Political Affiliation Republican Response Democrat Independent Totals Yes 35 90 10 135 No 165 100 200 465 Totals 200 190 210 600 Select the best answer. In a survey of 120 college students living in the dorms, 60 said that they had only a smart phone, 40 said they had only a LED TV in their rooms, and 15 said they had both a smart phone and a LED TV in their rooms. The remaining 5 students had neither. If a student is randomly chosen from this group, the probability that the student does not have a LED TV is Select the best answer. Manufactured bearings are collected in lots of 100 in a large bin. Suppose one bearing is selected from a bin at random and examined to determine whether it is defective or non-defective. The bearing is not returned to the bin, and another is selected and examined. If the manufacturing process has a 196 defective rate, what is the probability of selecting two non-defective bearings? Select the best answer. Executives in a sample working for Fortune 500 companies were surveyed concerning their loyalty to their company. A sample of 500 executives responded to the question, "If another company made an offer to you that is as good as or slightly better than your current position, would you take it, or remain with your current company?" Responses to this question were classified according to the years-in-service of each executive. The data are presented in the table. What is the probability that an executive, selected at random from this sample, will have less than one year of service? Time-in-service in years One year up to 4 Five years up to 9 10 years Loyalty Status Less than a year Total years 11 months years 11 months or more Would remain 22 82 316 85 127 Would not 28 45 23 184 88 remain Total 50 170 130 150 500 A quality control team at a large grocery chain obtained the following data, based on a random sample of 437 grocery items. What is the probability that a randomly selected item, regardless of pricing type, will be scanned correctly in terrms of the posted price? Type of Pricing Charge Type Advertised Special Price Regular Price Total Undercharge 7 12 19 Overcharge 14 24 38 Correct Price 140 240 380 Total 161 276 437 A machine fills packages with three different types of vegetable. beans, and other vegetables. Most of the bags are very nearly correctly filled. but some of the bags are overfilled with vegetables and others are under-filled. Suppose that a random sample of 2000 bags revealed the following data in the following table. What is the empirical probability that the machine under-fills or overfills the packages? What rule for probability are you using? Number of Relative Packages Frequencies Weight Event Underweight A 75 0.0375 Correct 1800 0.9000 Overweight C 125 0.0625 Total 1.0000 2000 0.01; the rule is the addition rule for mutually exclusive events. .10; the rule is the addition rule for mutually exclusive events. 0.10; the rule is the addition rule for non- mutually exclusive events. 0.90; the rule is the addition rule for non-mutually exclusive events A cell phone store which targets young customers (ages 18 through 22) wishes to determine whether the amount of the purchase is related to the method of payment. A sample of 300 customers was analyzed, and the information is given in the table. If a customer is selected at random from this group of customers, what is the probability that the customer paid using a layaway plan given the purchase CI was $120 or more? Payment Method Purchase Amount Cash Credit Card Layaway Totals Less than $120 At least $120 Totals 60 30 10 100 40 100 60 200 100 130 70 300 In a sample of 250 employees at a large tech company, suppose that 100 would prefer a more flexible work schedule, that 125 would prefer a more casual dress requirement and that 75 would prefer both. You can use a Venn diagram to help you solve the problem. What is the probability that an employee prefers a more flexible work schedule or a more casual dress requirement? What rule for probability are you using? Tables Keypad Answer 10 Points The probability is 0.400.50-0.30 0.60; the rule is the addition rule for non-mutually exclusive events. The probability is 0.10+0.30-0.30 = 0.10; the rule is the addition rule for non-mutually exclusive events. The probability is 0.10 +0.30-0.50 -0.10; the rule is the addition rule for non-mutually exclusive events. The probability is 0.30+0.30+0.30 = 1.20; the rule is the addition rule for non-mutually exclusive events. In a sample of 1000 recent MBA graduates, 700 said they earn over $100,000 per year, 300 said that 100% of their health insurance premiums are paid by the company for which they work, and 100 said that they neither earn over $1 00,000 per year, nor does their company pay 100 % of their health insurance premiums. Compute the probability of a recent MBA graduate earning over $100,000 per year and having 100 % of their health insurance premiums. For a certain brand of tire, the probability that it will last beyond 50,000 miles is 0.8 and the probability that it will last beyond 60,000 miles is 0.25. Given that a tire lasts beyond 50,000 miles, the probability that it will last beyond 60,000 miles is Select the best answer.

Answer 1

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