A - (BUC) = (А — В) n (А — С) (A – B) UC ) Option 3 O Option 4 (А - В) U (A — C) (А — В — С) Option 1 O Option 2
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- Figures 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.)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.build an ONB from u1 = 1 8 6 u2 = 1 0 2 u3 = 0 2 1
- Can u plz provide solution to this question?What is the mathematical definition of a transposition?A family has just moved to a new city and requires the services of both an obstetricianand a pediatrician. There are two easily accessible medical clinics, each havingtwo obstetricians and three pediatricians. The family will obtain maximum healthinsurance benefits by joining a clinic and selecting both doctors from that clinic.In how many ways can this be done? Denote the obstetricians by O1, O2, O3, andO4 and the pediatricians by P1,…, P6. Then we wish the number of pairs (Oi, Pj)for which Oi and Pj are associated with the same clinic. Because there are fourobstetricians, n1 5 4, and for each there are three choices of pediatrician, so n2 5 3.Applying the product rule gives N 5 n1n2 5 12 possible choices.
- 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?How i can i prove the det(a)?Provide counterexamples for If (A −B) ∩ (A −C) = ∅, then B ∩ C = ∅.