Suppose that at a famous aquarium, a docent found that 35 percent of elementaryschool children know the difference between dolphins and porpoises. If a docent has atour group that has 9 elementary school children, what is the probability that at leasttwo of the children know the difference between dolphins and porpoises?In a fantasy world, there is a region called Durotar, where about 68 percent of thedenizens are orcs. If we happen upon a group of 7 denizens, what is the probabilitythat the number of orcs is at least 2 and less than 5.8

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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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Question 2 You volunteer at a bookstore and are helping to pick up books from the old-book bin for recycling. The bin consists of 35 history books, 20 language books, and 5 science books. All the books have same cover and of same size, that is picking up a book is a random choice. (a) If you randomly pick up 5 books, what is the probability that more than half are history books? (b) If you randomly pick up 5 books, what is the probability that 2 are history, 2 are language and I is science? (c) Assume you randomly pick up a book for a check and then return it back to the bin, while repeating this process 3 times, what is the probability that all 3 are history books?
We believe that 95% of the population of all Elementary Statistics students consider Statistics an exciting subject. Suppose we randomly and independently selected 20 students from the population. If the true percentage is really 95% find the probability of observing 19 or more of the students who consider statistics to be an exciting subject in our sample of 20.
Question 1 In a survey of top executives, it was found that 54% had either traveled internationally on business or could fluently speak a foreign language. The probability that an executive who had not traveled internationally could speak a foreign language was 20%. It was found that only 2% of the executives had traveled internationally and could speak a foreign language. Imagine we randomly pick a top executive who answered the survey. a.What is the probability that the executive has not traveled internationally and does not speak a foreign language fluently? b.What is the probability that the executive does not speak a foreign language fluently? c.What is the probaility that an executive has not traveled internationally? d. If we had a random sample of 10 top executives (who responded to the survey), what would be the probability that two had traveled internationally? -.
section 5.5 A personnel director has two lists of applicants for jobs. List 1 contains names of 24 women and 8 men, whereas List 2 contains the names of 9 women and 16 men. A name is randomly selected from List 1 and added to List 2. A name is then randomly selected from the augmented List 2. Given that the name selected is that of a man, what is the probability that a woman's name was originally selected from List 1? Round your answer to four decimal places, if necessary.
With regards to a particular gene, the percentage of genotypes AA, Aa, and aa in a particular population are respectively, 60%, 30%, and 10%. Furthermore, the percentages of these genotypes that contract a certain disease are respectively. 1%, 5% and 20%. If a person does contract the disease, what is the probability that the person is of genotype AA?
part C and D

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