Preparing for the GMAT A company that offers courses to prepare students for the Graduate Management Admission Test (GMAT) has the following information about its customers: 20% are currently undergraduate students in business; 15% are undergraduate students in other fields of study; 60% are
Liar, liar! Sometimes police use a lie detector (also known as a polygraph) to help determine whether a suspect is telling the truth. A lie detector test isn’t foolproof—sometimes it suggests that a person is lying when they’re actually telling the truth (a “false positive”). Other times, the test says that the suspect is being truthful when the person is actually lying (a “false negative”). For one brand of polygraph machine, the probability of a false positive is 0.08.(a) Interpret this probability as a long-run relative frequency.(b) Which is a more serious error in this case: a false positive or a false negative? Justify your a
The probability of a flush A poker player holds a flush when all 5cards in the hand belong to the same suit. We will find the probability of a flush when 5 cards are dealt. Remember that a deck contains 52 cards, 13 of each suit, and that when the deck is well shuffled, each card dealt is equally likely to be any of those that remain in the deck.
A probability teaser Suppose (as is roughly correct) that each child born is equally likely to be a boy or a girl and that the genders of successive children are independent. If we let BG mean that the older child is a boy and the younger child is a girl, then each of the combinations BB, BG, GB, and GG has a probability 0.25Ashley and Brianna each have two children.
An athlete suspected of using steroids is given two tests that operate independently of each other. Test A has a probability 0.9 of being positive if steroids have been used. Test B has a probability 0.8 of being positive
In an effort to find the source of an outbreak of food poisoning at a conference, a team of medical detectives carried out a study. They examined all 50people who had food poisoning and a random sample of 200people attending the conference who didn’t get food poisoning. The detectives found that 40%of the people with food poisoning went to a cocktail party on the second night of the conference, while only 10%of the people in the random sample attended the same party. Which of the following statements is appropriate for describing the 40%of people who went to the party? (Let F = got food poisoning and A = attended p
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