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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5. A manufacturer of cell phones purchases batteries from a vendor. It is not uncommon to receive defective batteries from this vendor, thus whenever a shipment is received, a sample of batteries is inspected. For this month's shipment, a random sample of 280 batteries is selected and each battery is inspected. If the proportion of defective batteries sampled is more than 1.5%, the entire shipment will be returned to the vendor. What is the probability that this month's shipment will be returned if the true proportion of defective batteries is 4%?
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?
20. Based on student records, 25% of the students at a large high school have a GPA of 3.5 or better, 16% of the students are currently enrolled in at least one AP class, and 12% of the students have a GPA of 3.5 or better and are enrolled in at least one AP class. If we select one student at random, what is the probability that the student has a GPA lower than 3.5 and is not taking any AP classes? (A) 0.29 (B) 0.47 (C) 0.53 (D) 0.63 (E) 0.71
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.
A coin is tossed up twice. What is the chance of getting at least one head?
. Based on past experience, a company knows that an experienced machine operator will produce a defective item 2% of the time. Operators with some experience produce a defective item 3.5% of the time, and new operators will produce a defective item 9% of the time. At any one time, the company has 53% experienced operators, 33% operators with some experience,and 14% new operators. draw a tree diagram. Given that the item is defective, what is the probability that it was made by a new operator?
4. In a tennis match, with the score at deuce, the game is won by the first player who gets a clear lead of two points. If the probability that given player wins a particular point is 0, and all points are played independently, what is the probability that player eventually wins the game?
Questions 16 - 17 refer to the problem below. A container contains different medications in the form of tablets. Four are Paracetamol, five are antacids and 3 are laxatives. A child randomly selects two tablets, one after the other without replacement. 16. What is the probability that both tablets are antacids? A. 0.08 B. 0.15 C. 0.12 D. 0.02 17. What is the probability that one tablet is a laxative and the other is Paracetamol? A. 0.15 В. 0.12 C. 0.25 D. 0.18

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