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- 40. Prove or disprove that .In a recent study, 50males used a new weight-loss supplement, and 38 of them experienced weight loss after two weeks. In the same study, 20 females used the same supplement, and 16of them experienced weight loss after two weeks.Fill in t he blanks below to make the most reasonable statement possible. The new weight-loss supplement was less effective on ▼(Choose one: males/females) in the study. That is because only ____% of them lost weight after two weeks, whereas ____% of the ▼(Choose one:males/females) lost weight after two weeks.Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…
- In a study of pain relievers, 20 people were given product A, and all but 5 experienced relief. In the same study, 50 people were given product B, and all but 16 experienced relief. Fill in the blanks below to make the most reasonable statement possible. Product A or B performed worse in the study. That is because ____ % failed to get relief with the product, wheares only ____ % failed to get relief with product A or BFigures obtained from a city's police department seem to indicate that of all motor vehicles reported as stolen, 63% were stolen by professionals (P), whereas 37% were stolen by amateurs (primarily for joy rides) (A). Of the vehicles presumed stolen by professionals, 25% were recovered within 48 hours (R<48), 23% were recovered after 48 hours (R>48), and 52% were never recovered (N). Of the vehicles presumed stolen by amateurs, 33% were recovered within 48 hours, 63% were recovered after 48 hours, and 4% were never recovered. (b) What is the probability that a vehicle stolen by a professional in this city will be recovered within 48 hours?(c) What is the probability that a vehicle stolen in this city will never be recovered? (Round your answer to four decimal places.)build an ONB from u1 = 1 8 6 u2 = 1 0 2 u3 = 0 2 1
- Assume that there are two types of borrowers high and low. The high type occurs with probability 0.75 and the low type occurs with probability 0.25. The high type succeeds and generates a gross return of 2 with probability 0.8 and fails and generates a gross return of 0 with probability 0.2. The low type succeeds and generates a gross return of 10 with probability 0.2 and fails and generates a gross return of 0 with probability 0.8. Assume limited liability. In addition, assume that the banking sector is competitive. Furthermore, assume that a commercial bank can secure a gross return of 1 if it makes a deposit at the central bank. Finally, assume that the two types of potential borrowers are DISTINGUISHABLE. What should the gross interest (1+r) charged on loans to low type be in this case?At a certain school 60 of the 100 boys and 60 of the 80 girls signed up for the senior trip. Is there an associa-tion between going on the trip and gender? A) We can’t tell, because the class doesn’t have the samenumber of boys and girls.B) Yes, because the same number of boys and girlssigned up.C) Yes, because a lower percentage of boys signed upthan of girls.D) No, because the people on the trip were 50% boysand 50% girls.E) No, because the sign-up rate was higher among girlsthan among boys.The Reviews editor for a certain scientific journal decides whether the reviewfor any particular book should be short (1–2 pages), medium (3–4 pages), or long(5–6 pages). Data on recent reviews indicates that 45% of them are short, 35%are medium, and the other 20% are long. Reviews are submitted in either Wordor LaTeX. For short reviews, 70% are in Word, whereas 55% of medium reviewsare in Word and 40% of long reviews are in Word. Suppose a recent review israndomly selected.(a) What is the probability that the selected review was submitted in LaTeX for-mat? (b) If the selected review was submitted in Word format, what are the posteriorprobabilities of it being short, medium, or long?
- A researcher is interested in understanding how the flexibility of vacation policies at a company influence employee satisfaction with their job. Company 1, Vance Refrigeration, has a 2 week vacation policy in which employees can take those 2 weeks at any time during the year. Company 2, Dunder Mifflin Paper Company, has a 2 week vacation policy in which employees can only take vacation days during specific pre-approved times of year. What is the confound?A friend who lives in Los Angeles makes frequent consultingtrips to Washington, D.C.; 50% of the time shetravels on airline #1, 30% of the time on airline #2, and the remaining 20% of the time on airline #3. For airline#1, flights are late into D.C. 30% of the time and late intoL.A. 10% of the time. For airline #2, these percentagesare 25% and 20%, whereas for airline #3 the percentagesare 40% and 25%. If we learn that on a particular trip shearrived late at exactly one of the two destinations, whatare the posterior probabilities of having flown on airlines#1, #2, and #3? Assume that the chance of a late arrival inL.A. is unaffected by what happens on the flight to D.C.[Hint: From the tip of each first-generation branch on atree diagram, draw three second-generation brancheslabeled, respectively, 0 late, 1 late, and 2 late.]In a recent study, 50 males used a new weight-loss supplement, and all but 14 of them experienced weight loss after two weeks. In the same study, 100females used the same supplement, and all but 14 of them experienced weight loss after two weeks. Fill in the blanks below to make the most reasonable statement possible. The new weight-loss supplement was less effective on ▼(Choose one) in the study. That is because only % of them lost weight after two weeks, whereas % of the ▼(Choose one) lost weight after two weeks.
