Suppose that at University of Virginia, 9% are in Engineering, 7% are in Commerce, 4% are in Nursing, and 5% are in Architecture, and 75% of all undergraduatesare in the other Majors. In each school, the percentage of females is as follows: 27% in Engineering, 48% in Commerce, 87% in Nursing, and 33% in Architecture,58% in the other Majors. If a randomly selected student is male, what is the probability that he's from the other Majors?Probability=

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Answered: Suppose that at University of Virginia,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A financial institution, Kumpannee, has two departments. Department A has 8 individuals and Department B has 6 individuals. Kumpannee needs to select an Analyst, a Programmer, a Mathematician, and a Manager to produce a forecast on the price of a barrel of crude oil. The team is chosen randomly among the 14 members of department A and B. What is the probability that the Analyst and the Programmer come from Department A, and the Mathematician and the Manager come from Department B?
A bakery offers a variety of pastries, including 5 different types of croissants, 4 different types of muffins, and 3 different types of danishes. If a customer randomly selects 2 pastries from the bakery's display case, what is the probability that they choose one croissant, one muffin, and both pastries are of different types, given that each pastry is equally likely to be selected and the customer does not put back the first pastry chosen before selecting the second one?
In a hospital, there are 11 male patients in ICU, 7 female patients in ICU, 5 male patients in cardiology, 4 female patients in cardiology, 4 male patients in gastroenterology, and 4 female patients in gastroenterology. If a volunteer calls upon a patient to offer company, what is the probability that the patient will be male?
A local country club has a membership of 600 and operates facilities that include an 18-hole championship golf course and 12 tennis courts. Before deciding whether to accept new members, the club president would like to know how many members regularly use each facility. A survey of the membership indicates that 69% regularly use the golf course, 45% regularly use the tennis courts, and 10% use neither of these facilities regularly. Given that a randomly selected member uses the tennis courts regularly, find the probability that they also use the golf course regularly.
As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King). If you select a card at random, what is the probability of getting: a number smaller than 9 (counting the ace as a 1)?
You have three jars containing marbles, as follows:jar 1 600 red and 400 whitejar 2 900 blue and 100 whitejar 3 10 green and 990 whitea. If you blindly select one marble from each jar,calculate the probability of obtaining(1) a red, a blue, and a green.(2) three whites.(3) a red, a green, and a white.(4) a red and two whites.(5) a color and two whites.(6) at least one white.b. In a certain plant, R = red and r = white. You self a redR/r heterozygote with the express purpose of obtaining awhite plant for an experiment. What minimum numberof seeds do you have to grow to be at least 95 percentcertain of obtaining at least one white individual?c. When a woman is injected with an egg fertilized invitro, the probability of its implanting successfully is20 percent. If a woman is injected with five eggssimultaneously, what is the probability that she willbecome pregnant? (Part c is from Margaret Holm.)
A standard deck of 52 cards has 4 suits (Each has 13 cards: Ace, 2, 3,..., 10, Jack, Queen, and King): Diamonds and Hearts are red colored, whereas clubs and spades are black. If three cards are drawn at random, without replacement, find the probability of getting all three ace cards
In a game of chance, there are three boxes: Box A contains 5 red balls and 3 blue balls, Box B contains 7 red balls and 2 blue balls, and Box C contains 4 red balls and 6 blue balls. If a box is randomly chosen and a ball is drawn from it, what is the probability that the ball drawn is red? Consider all boxes are equally likely to be chosen.
In a recent poll, 23% of the respondents supported candidate A, 19% supported candidate B, 13% supported candidate C, and 45% were undecided. If 7 people are chosen at random, what is the probability that 2 people support candidate A, 2 support candidate B, 1 supports candidate C, and 2 are undecided?
Question 3: A package is being delivered to your home by one of the following shipping carriers: Postal Service, FedEx, or UPS. Suppose 40% of all packages are shipped by the Postal Service, 25% are shipped by FedEx, and 35% are shipped by UPS. The probability of the package being lost by these shipping carriers is 5%, 3%, and 7%, respectively. a) What is the probability that your package is lost? b) Given your package is lost, what is the probability that it was shipped by UPS?

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