(A) Variable X = the number of tosses of a fair coin until 10 heads occur. (B) V
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(A) Variable X = the number of tosses of a fair coin until 10 heads occur. (B) Variable X = the number of rolls of a fair die that resulted in a "3" out of 10 rolls. (C) The box contains 3 blue marbles, 2 red, and 5 white marbles. Three marbles from the box are eplacement. Variable X = the number of red marbles out of3 marbles (D) All of the above. (E) None of these. 31 According to the Daily Racing Farm, the probability is about 67% that the favorite in a horse race will 8 finish in the money (first, second, or third place). In the next eight races, what is the probability that the favorite finishes in the money twice? (A) 0.0162 (B) 0.0003 (C) 0.9997 (D) 0.9838 (E) None of these 32, According to the periodical Zero Population Growth (Spring 2000, Vol.32), the US leads the fully industrialized world in teen pregnancy rates, with 40% of US females getting pregnant at least once before reaching the age of 20. In a sample of 10 randomly selected 20-year-old females, what is the probability that at least 6 of them have been pregnant at least once before the age of 20? (A) 0.1115 (B) 0.8338 (C) 0.1662 (D0.9452 (E) None of these 33, As reported by Television Bureau of Advertising, Inc., in Trends in Television, 84.2% of US is are randomly selected for observational study, what is the households have a VCR. If 18 househol probability that at most 15 households will have VCR? (A) 0.5581 (B) 0.4419 (C) 0.244 (D) 0.8019 (E) None of theseExplanation / Answer
31)
Probability that your favourite horse will finish in the money = 0.67
No of ways to select r objects from n objects = nCr = n!/(r!*(n-r)!)
Probability that in next 8 races the favourite horse finishes in the money twice = (8C2)(0.67)2(1-0.67)6
= 0.0162 (A)
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