MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- A researcher collected data on adult alcohol consumption and marital status. She reported the number of adults in each category. 1- 60 drinks More than 60 drinks O drinks per month Total per month per month Single 20 100 30 150 Married 100 400 150 650 Widowed 10 25 15 50 Divorced 20 80 50 150 Total 150 605 245 1000 An adult is randomly selected from the study. Use this information to find the probabilities requested. Find the following probabilities as fractions. Don't simplify your results. a) What is the probability that a person drinks 1 - 60 drinks per month given that they are divorced? b) What is the probability that a person is divorced given that they drink 1 - 60 drinks per month? c) What is the probability that a person is single given that they have more than 60 drinks per month? d) What is the probability that a person has more than 60 drinks per month given that they are a widow?arrow_forward5. Help pleasearrow_forward1. The following is a summary of the results of a survey: Full-Time Part-Time Column Totals Faculty 25 48 73 b. P(Full-Time) c. P( Part-Time, given Faculty) d. P(Staff, given Full-Time) e. P( Full-Time and Staff) f. P(Part-Time or Administration) Staff 16 7 23 A respondent is randomly chosen. Find the following probabilities: a. P(Faculty) Administration 9 3 12 Row Totals 50 58- 108 2. The probability that it will rain today is 50%. The probability that it will rain tomorrow is 60%. There is a 30% probability that it will rain both days. What is the probability that it will rain either today or tomorrow? 3. A committee is composed 30% of females and 60% of administrators. Among the administrators, 10% are females. What is the probability that a randomly chosen member of the committee is both an administrator and a female? a. b. c. 13, 11, 14, 8, 14 4. If a balanced die is rolled, what is the probability that the number of dots on the top face is either odd or less than four? 5. A bowl…arrow_forward
- 2. Calculate the expected value and interpret the answer in context of the problem below. A hospital researcher is interested in the number of times the average post-op patient will ring the nurse during a 12-hour shift. For a random sample of 50 patients, the following information was obtained. Calculate the expected value. Number of times a patient will ring the nurse, x 0 1234 5 Probability that a patient will ring the nurse, P(x) 0.08 0.16 0.32 0.28 0.12 0.04 Discussion Prompts Respond to the following prompts in your initial post: 1. What is the expected value? 2. What does the expected value mean in terms of the context of the problem?arrow_forward21. A survey involving 600 Democrats, 400 Republicans and 200 Independents asked the question: "Do you favor or oppose eliminating taxes on dividends paid to shareholders?" The following results were obtained: Answer Democrats, % Republicans, % Independents, % Favor 29 66 48 Орpose 71 34 52 What is the probability that a person selected at random from this survey answered "favor"?arrow_forwardIn government data, a family consists of two or more persons who live together and are related by blood or marriage. Choose an American family at random and count the number of people it contains. Here is the assignment of probabilities for your outcome: Number of persons 2 3 4 5 6 7 Probability 0.42 0.23 0.21 0.09 0.03 0.02 Using the probabilities above, what is the expected size of the family you draw?arrow_forward
- A study of the career plans of young women and men sent questionnaires to all 722 members of the senior class in the College of Business Administration at a given University. One question asked which major within the business program the student had chosen. Here are the data from the students who responded Major Accounting Administration Economics Finance Female Male 68 56 91 40 61 59 Does the data suggest that there is a relationship between the gender of students and their choice of major? What is the expected number of female who choose Finance? Select the correct response: O 70 60 O 37 O 61arrow_forward19. A fast-food restaurant attaches prize coupons to the cups used to serve large drinks. Seventy percent (70%) of the coupons say “Play Again,” 15% say “Win a free small drink,” 10% say “Win a free ice cream cone,” and the rest say “Win a free burger.” Given what you know about probability and probability models, which one of the following statements must be correct? 1. More than 10% of the coupons say “Win a free burger.” 2. The proportion of coupons that say “Win a free burger” is equal to 0.50. 3. If we randomly select one customer who has received a prize coupon, there is a 5% chance that coupon says “Win a free small drink” or “Win a free ice cream cone.” 4. If we randomly select one customer who has received a prize coupon, there is a 25% chance that coupon says “Win a free small drink,” “Win a free ice cream cone,” or “Win a free burger.” 5. If we randomly select one customer who has received a prize coupon, there is a 15% chance that coupon says “Win a free ice…arrow_forwardSuppose a sample of 100 people was taken, and each one was asked about being dominantly right-handed or left-handed. Their gender was also note. Handedness /Gender Right handed Left Handed Total Male 42 6 48 Female 45 7 52 Total 87 13 100 Suppose one person is chosen at random and compute the following probabilities. P(Female) P(Male or right-handed) P(Female given left-handed)arrow_forward
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