1. In a group of 100 men, 55 are clean-shaven, 30 have beards and moustaches, 10 have moustachesonly, and 5 have beards only. One man is selected at random.(a) What is the probability that the man has a beard?(b) If it is known that the selected man has a beard, what is the probability that he has a moustache?(c) In this group of 100 men, are the events of having a beard and having a moustache independentfor a randomly selected man?

(a) The probability that the man has a beard is obtained below as follows: From the information,…

Answered: 1. In a group of 100 men, 55 are…

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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Suppose 5 men out of 100 and 25 women out of 10,000 are color blind. A color blind person is choosen at random. What is the probability of the person being a male (Assume male and female to be in equal numbers).
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10. In a group of 60 employees, 25 are managers. If a team of 8 employees is randomly selected, what is the probability that exactly 3 of them are managers?
Thirteen jurors are randomly selected from a population of 5 million residents. Of these 5 million residents, it is known that 45% are of a minority race. Of the 13 jurors selected, 2 are minorities. (a) What proportion of the jury described is from a minority race? (b) If 13 jurors are randomly selected from a population where 45% are minorities, what is the probability that 2 or fewer jurors will be minorities? (c) What might the lawyer of a defendant from this minority race argue? (a) The proportion of the jury described that is from a minority race is (Round to two decimal places as needed.) (b) The probability that 2 or fewer out of 13 jurors are minorities, assuming that the proportion of the population that are minorities is 45%, is (Round to four decimal places as needed.) (c) Choose the correct answer below. A. The number of minorities on the jury is unusually high, given the composition of the population from which it came. B. The number of minorities on the jury is unusually…
Twelve jurors are randomly selected from a population of 55 million residents. Of these 55 million residents, it is known that 46%are of a minority race. Of the 12 jurors selected, 22are minorities. (a) What proportion of the jury described is from a minority race? (b) If 12 jurors are randomly selected from a population where 46%are minorities, what is the probability that 22or fewer jurors will be minorities? (c) What might the lawyer of a defendant from this minority race argue?
In a study by the Department of Transportation, there were a total of 89 drivers that were pulled over for speeding. Out of those 89 drivers, 36 were men who were ticketed, 15 were men who were not ticketed, 4 were women who were ticketed, and 34 were women who were not ticketed. Suppose one person was chosen at random.(a) What is the probability that the selected person is a man who was not ticketed? (b) What is the probability that the selected person is a man who was ticketed?
4. Teddy lives life on the edge and gets dressed randomly every morning. This morning, he is randomly choosing a pair of shoes, a pair of pants, and a shirt from his closet which contains the following colors and corresponding quantities: Shoes: black (2) and brown (3) Pants: black (3) and brown (1) Shirt: white (2), brown (4) and black (6) What is the probability that Teddy randomly chooses shoes, pants and a shirt of the same color? A. 1/5 В. 2/5 С. 120 A B C D D. 3/20
You and two best friends of yours are invited to a party of 10 people (including the host). a. Suppose the 10 people are randomly seated along the dining table. What's the probability that you and your best friends happen to sit next to each other, i.e., no one sits in between any of the three of you? b. After the dinner, four people are drawn randomly to play video games. What's the probability that at least one of your best friends are picked?
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