Problem 5You are a production scheduling manager at Norman's fourth largest cracker factory, and yourandomly assign operators to shifts. Of the 20 available operators, only eight have had aparticular safety training course. If you randomly select six operators to fill a particular shift,what is the probability that nobody selected for the shift will have had the safety course?

Answered: You are a production scheduling manager…

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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A stock index consists of businesses in both Europe and the United States. Assume that each business comprising the stock index makes a profit or loss independently of the other businesses in the index. Suppose that an American business on the stock index makes a profit 60%60% of the time and a European business makes a profit 80%80% of the time. If there are 840 American businesses and 720 European businesses in the stock index, what is the expected number of businesses in the stock index to make a profit?
10 students from each of Engineering, Science, Humanities, and Social Science were nominated to represent their faculties. 9 of these 40 students will be randomly chosen to be on the student council. Find the probability that at least one of the four faculties will be unrepresented on the student council.
Sommelier4U is a company that ships its customers bottles of different types of wine and then has them rate the wines as “Like” or “Dislike.” For each customer, Sommelier4U trains a classification tree based on the characteristics and customer ratings of wines that the customer has tasted. Then, Sommelier4U uses the classification tree to identify new wines that the customer may Like. Sommelier4U recommends the wines that have a greater than 50% probability of being liked. Neal Jones, a loyal customer, has provided feedback on hundreds of different wines that he has tasted. Based on this feedback, Sommelier4U trained and validated the following classification tree: For these 178 wines, the tree only misclassifies two wines. These wines have the following characteristics: Wine 1: Proline = 735, Ash = 2.88, Flavanoids = 2.69, Magnesium = 118 Wine 2: Proline = 680, Ash = 2.29, Flavanoids = 2.63, Magnesium = 103 Based on this information, construct the confusion matrix based on the 178…
consider a political discussion group of 6 democrats, 5 republicans, and 3 independents. If two group members are randomly chosen, in succession, to attend a convention. What is the probability of selecting an independent and then a democrat?
Suppose a computer company has manufacturing plants in three states. 50% of its computers are manufactured in Califomia, and 85% of these are desktops; 30% of computers are manufactured in Washington, and 40% of these are laptops; and 20% of computers are manufactured in Oregon, and 40% of these are desktops. All computers are first shipped to a distribution site in Nebraska before being sent out to stores. If you picked a computer at random from the Nebraska distribution center, what is the probability that it is a laptop?
Fred has 4 place settings consisting of a dinner plate, a salad plate, and a bowl. Each setting is a different color. If Fred randomly selects a dinner plate, a salad plate, and a bowl, what is the probability that they all have different colors? The probability is
Consider a political discussion group consisting of 4 Democrats, 9 Republicans, and 6 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting two Democrats.
Students in a class like to secretly use online calculators in their quizzes. There are three such online calculators favoured amongst the students: WolframAlpha (WA), Symbolab (S), and GeoGebra (GG). A student's favourite calculator changes from quiz to quiz according to the following rules: If a student likes WA best, then it is has a 50% chance of remaining their favourite for the next quiz; 25% of becoming S for the next quiz; and 25% of becoming GG for the next quiz. If a student likes S best, then it has a 50% chance of becoming WA for the next quiz, and a 50% chance of becoming GG for the next quiz. If a student likes GG best, then it has a 33.3% chance of becoming any of the three calculators for the next quiz. For the first quiz, there are 120 who count WA as their favourite; 80 who count S as their favourite; and 50 who count GG as their favourite. What is true about the fourth quiz? Choose one of the following: 1. 115 students favour WA; 52 students favour S; and 83…
Imagine you are a researcher interested in the effects of marijuana on beliefs in conspiracy theories. The study involves two groups, to which people are assigned by chance: Group A takes a pill that contains the active ingredient in cannabis, THC, while Group B are given a harmless placebo pill. Neither the people conducting the study nor the participants know who is getting the drug and who is not. After taking the pill and completing some filler tasks, participants are given a series of surveys to complete. One of these theories asks them to indicate the extent to which they believe in different conspiracy surveys (e.g., a secret group like the Illuminati controls the world, Obama was not born in the US & is secretly a Muslim, 9/11 was an inside job, the moon landing was faked).
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In a lottery, the top cash prize was $675 million dollars, going to three lucky winners. Players pick four different numbers 1 to 58 and one number 1 to 48. A player wins a minimum of $100 by correctly matching two numbers drawn from the white balls (1 through 58) and matching the number on the gold bal (1 through 48). What is the probability of winning the minimum award?

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