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 thetwo 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.)

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

Answered: The computers of six faculty members in…

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...

See similar textbooks

Similar questions

In a survey of 300 students of a college, it was found that 49% liked watching football, 53% liked watching hockey and 62% liked watching basketball. Also, 27% liked watching both football and hockey, 29% liked watching both basketball and hockey and 28% liked watching both football and basket ball. and 5% liked watching none of these games. a) The number of students like watching all the three games is Blank 1 b) The number of students who like watching only one of the three given games is Blank 2 c) The number of students who like watching at least two of the given games Blank 3 Blank 1 Add your answer Blank 2 Add your answer Blank 3 Add your answer
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.
. Suppose an exam consists of multiple-choice questions, with each question having 5 options. Exactlyone of the five options is the correct answer. Suppose 24 points are awarded for a correctly answeredquestion.(a) How many points should be deducted for an incorrectly answered question, so that for a studentguessing randomly, the expected score on a question is zero?(b) If a student is able to correctly eliminate one option as a possible correct answer but is still guessingrandomly, what happens to his/her expected score for that question? Use your answer to (a) asthe number of points being deducted for an incorrect answer.
(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 friend of mine is giving a dinner party. His current wine supply includes 7 bottles of zinfandel, 11 of merlot, and 13 of cabernet (he only drinks red wine), all from different wineries. (a) If he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? (b) If 6 bottles of wine are to be randomly selected from the 31 for serving, how many ways are there to do this? (c) If 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? (d) If 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (Round your answer to three decimal places.) (e) If 6 bottles are randomly selected, what is the probability that all of them are the same variety? (Round your answer to three decimal places.)
A penny is tossed three times and the results heads and tails noted. The process is continued until there are 100 sets of threes. In 69 cases, heads fell first, in 49 cases, heads fell second and in 53 cases. Heads fell third. In 33 cases heads fell both first and second and in 21 cases heads fell both second and third. Show that there must have been at least 5 occasions on which heads fell three times, and that there could not have been more than 15 occasions on which tails fell three times, though there need not have been any.
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?
I need help on both questions. Thank you in advance!
5. A group of n people stand in a line. On the count of three, each of them simultaneously chooses to look either left or right (with equal probability): at one of their neighbors. Let X be the number of pairs of adjacent people that end up facing each other. (For example, if n = 5 and the random facings are "Left, Left, Right, Left, Right" then only the 3rd and 4th people face each other.) (a) Find the expected value E[X]. (b) Find Pr[X=0]. (c) Assuming n is even, find the maximum possible value of X, and the probability that X is equal to that value.
You are trying frantically to get dressed, and you need to reach into your sock drawer to get two matching socks in the dark. Your sock drawer contains 20 socks, consisting of 10 matched pairs. All of them are only black or white, and they are loose, disorganized randomly, and not bound together. This means you have 10 black and 10 white socks in your disorganized drawer. This makes 10 total matching pairs of 5 pairs of white and 5 pairs of black. 1. How can you guarantee success of picking a matching pair? In other words, what is the minimum number of socks needing to be picked to guarantee a matching pair? (Hint: There is a right answer to this question!) 2. Explain dependent and independent trials

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS