1/4, 1/4, and 1/2, respectively. A different integer value is assigned to each color, and thiscorresponds to a random variable X that can take on one of these three integer values.(a) Can f(x) = (1/4) *\(1/2)' - 1*1 for x = -1, 1, 0 be uscd as a pdf for this experiment?(b) Can f(x) = ( 1/2)*for x = 0, 1, 2 be used?%3D(c) Can f(x) = (1 – x)/4 for x = -1,0, 2 be used?%3D 9. Sometimes it is desirable to assign numerical “code" values to experimental responses thatare not basically of numerical type. For example, in testing the color preferences ofexperimental subjects, suppose that the colors blue, green, and red occur with probabilities

Given information: The 3 colour preferences are blue, green and red. The required probabilities of 3…

Answered: Sometimes it is desirable to assign…

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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Dr. Cy Clopps is ophthalmologist and owner of the Spex Appeal Eye Clinic. A review of 100 patient’s records indicated that 30 of these patients have vision insurance. Further, 35 of the 100 patients got bifocal glasses but had no insurance. Finally, 10 of the 100 patients had insurance but did not get bifocals. d. Of those with insurance, what proportion got bifocals? e.Are the events independent? Mutually exclusive? Collectively exhaustive?
Richard has just been given a 10-question multiple-choice quiz in his psychology class. Each question has five answers, of which only one is correct. Since he has not attended class recently, he doesn’t know any of the answers. What makes up a trial? What is a success? What is a failure? What are the values of n, p, and q? Assuming Richard guesses on all 10 questions, find the indicated probabilities. What is the probability that he will answer all 10 correctly. What is the probability that he will answer all 10 incorrectly. What is the probability that he will answer at least one of the questions correctly. What is the probability that he will get at most 3 correct? What is the average number(expected value) of questions Richard will answer correctly What is the standard deviation?
67.9% of all patients admitted to the intensive care unit (ICU) have a fever, 35.6% have some sort of infection, and 17.2 % have both problems. find the probability that a randomly chosen patient in this ICU had with a fever , given that they have an infection
The M&M/Mars candy company does a lot of market research to determine the most appealing mix of colors in M&M candies. Recently, one mix was: Purple 20%; Yellow 20%; Red 20%; Orange 10%; Green 10%; Blue 10% and Brown 10%. Suppose you reach into a bag of M&M candies and draw out ONE candy at random. What is the likelihood of drawing a Purple candy?
A bookstore sells two types of books (fiction and nonfiction) in several formats (hardcover, paperback, digital, and audio). For the chance experiment that consists of observing the type and format of a single-book purchase, two of the eight possible outcomes are a hardcover fiction book and an audio nonfiction book. (a) For customers who purchase a single book, the estimated probabilities for the different possible outcomes are given in the cells of the accompanying table. Hardcover Paperback Digital Audio Fiction 0.15 0.45 0.10 0.10 Nonfiction 0.09 0.03 0.01 0.07 What is the probability that a randomly selected single-book purchase will be for a book in print format (hardcover or paperback)?
In an inspection of automobiles in a certain Country, 60% of all automobiles had emissions that did not meet EPA regulations. For a random sample of 10 automobiles, compute the following probabilities: a. All 10 automobiles failed the inspection. b. Exactly 6 of the 10 failed the inspection. c. Six or more failed the inspection. d. All 10 passed the inspection.
3. Twenty five percent of a town's voters favor letting a major discount store move into their neighbourhood, 60% are against it and 15% are indifferent. What is the probability that a randomly selected voter from this town will either be against it or be indifferent?
A study published in 2012 concluded that 33 percent of the patients on Prednisone, a medication used for the treatment of various allergic disorders, suffered adverse effects. If 90 patients with allergic disorders are selected randomly and administered Prednisone, what is the approximate probability that at most 20 of them will suffer adverse effects? 0.022 0.330 0.670 0.015 0.042
A certain group of women has a 0.06% rate of red/green color blindness. If a woman is randomly selected, what is the probability that she does not have red/green color blindness?

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Sometimes it is desirable to assign numerical “code" values to experimental responses that are not basically of numerical type. For example, in testing the color preferences of experimental subjects, suppose that the colors blue, green, and red occur with probabilities