The computers of six faculty members in a certain department are to be replaced. Two of the faculty members have selectedlaptop machines and the other four have chosen desktop machines. Suppose that only two of the setups can be done on aparticular day, and the two computers to be set up are randomly selected from the six (implying 15 equally likely outcomes; if thecomputers are numbered 1, 2, ..., 6, then one outcome consists of computers 1 and 2, another consists of computers 1 and 3,and so on).(a) What is the probability that both selected setups are for laptop computers? (Round your answer to three decimal places.)(b) What is the probability that both selected setups are desktop machines?(c) What is the probability that at least one selected setup is for a desktop computer? (Round your answer to three decimalplaces.)(d) What is the probability that at least one computer of each type is chosen for setup? (Round your answer to three decimalplaces.)Need Help?Submit AnswerRead It

The computers of six faculty members in a department are to be replaced. Two of the faculty members…

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A product shipment contains 6 computer chips, of which two (2) are defective. If an inspector selects 4 chips at random for an order, without replacement, how many ways are there of picking both defective chips in this order (of 4 chips)? Order does not matter.
In a random sample of 1,000 people, it is found that 7% have a liver ailment. Of those who have a liver ailment, 40% are heavy drinkers, 50% are moderate drinkers, and 10% are nondrinkers. Of those who do not have a liver ailment, 10% are heavy drinkers, 70% are moderate drinkers, and 20% are nondrinkers. If a person is chosen at random and he or she is a heavy drinker, what is the probability of that person having a liver ailment? What is the probability for a nondrinker?
(3) Times, Wall Street Journal, and USA Today: In a survey of 150 business travelers, it was found that of three daily newspaper, New York 71 read New York Times; 43 read Wall Street Journal; 34 read USA Today; 30 read New York Times and Wall Street Journal; 25 read New York Times and USA Today; 15 read Wall Street Journal and USA Today; 10 read all three. A person is selected at random from this 150 travelers. (a). What is the probability that the randomly selected person reads New York Times or USA Today but not Wall Street Journal? (b). Given that this traveler read at least one of these three newspapers, what is the probability that he/she read USA Today? (c). Given that this traveler read exactly one of these three newspapers, what is the probability that he/she read Wall Street Journal?
A group of fifteen tourists is stranded in a city with four hotels of the same class. Each of the hotels has enough room available to accommodate the fifteen tourists. The group's guide, who has a good working relationship with each of the four hotels, assigns the tourists to the hotels as follows. First, he randomly determines how many are to go to hotel A, then how many of the remaining tourists are to go to hotel B, and then how many are to go to hotel C. All remaining tourists are sent to hotel D. Note that each stage of the assignment the guide draws at random a number between zero and the number of tourists left. What is the probability that all four hotels receive guests from the group?
A class of 10 men and 20 women, half of whom are men and women with blue eyes, has created the possibility that the randomly selected person is a man or has blue eyes.
The computers of six faculty members in a certain department are to be replaced. Two of the faculty members have selected laptop machines and the other four have chosen desktop machines. Suppose that only two of the setups can be done on a particular day, and the two computers to be set up are randomly selected from the six (implying 15 equally likely outcomes; if the computers are numbered 1, 2, ..., 6, then one outcome consists of computers 1 and 2, another consists of computers 1 and 3, and so on). (a) What is the probability that both selected setups are for laptop computers? (Round your answer to three decimal places.) (b) What is the probability that both selected setups are desktop machines? (c) What is the probability that at least one selected setup is for a desktop computer? (Round your answer to three decimal places.) (d) What is the probability that at least one computer of each type is chosen for setup? (Round your answer to three decimal places.)
An organization for people with high IQ, and eligibility requires an IQ above 131.5. Suppose the IQ scores are normally distributed with a mean of 102.5 and standard deviation of 16.1. If someone wants to join the organization, what is the probability that he or she meets the organization’s requirement?
Suppose that we've decided to test Clara, who works at the Psychic Center, to see if she really has psychic abilities. While talking to her on the phone, we'll thoroughly shuffle a standard deck of 52 cards (which is made up of 13 hearts, 13 spades, 13 diamonds, and 13 clubs) and draw one card at random. We'll ask Clara to name the suit (heart, spade, diamond, or club) of the card we drew. After getting her guess, we'll return the card to the deck, thoroughly shuffle the deck, draw another card, and get her guess for the suit of this second card. We'll repeat this process until we've drawn a total of 14 cards and gotten her suit guesses for each. Assume that Clara is not clairvoyant, that is, assume that she randomly guesses on each card. Answer the following. (If necessary, consult a list of formulas.) (a) Estimate the number of cards in the sample for which Clara correctly guesses the suit by giving the mean of the relevant distribution (that is, the expectation of the relevant…

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