Five employees of a firm are ranked from 1 to 5 based on their job ability to program a computer. Three of theseemployees are selected to fill the equivalent programming jobs. If all possible choices of three (out of the five) areequally likely, find the following probabilities.a. The employee ranked number 1 is selected.b. The highest-ranked employee among those selected has rank 2 or lower.C. The employees ranked 4 and 5 are selected.

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Answered: Five employees of a firm are ranked…

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 card deck contains cards of 4 colors: red, blue, green, and yellow. There are 20 of each color, for a total of 80 cards in the deck. If we draw 2 cards with replacement, what is the chance that the first draw is green and the second draw is yellow? Choose the answer that is closest. Group of answer choices 12.66% 6.33% 6.25% 25.00%
A committee has seven members. There are three members that currently serve as the board's chairman, ranking member, and treasurer. Each member is equally likely to serve in any of the positions. Three members are randomly selected and assigned to be the new chairman, ranking member, and treasurer. What is the probability of randomly selecting the three members who currently hold the positions of chairman, ranking member, and treasurer and reassigning them to their current positions? The probability is. (Round to four decimal places as needed.) ←
A box contains 3 red and 4 blue marbles. Two marbles are drawn one at a time, without replacement. Use a PROBABILITY TREE to answer the following questions. a. Find the probability that both marbles drawn are red. b. Find the probability that the first marble drawn was blue, given that the second was red.
Mrs b. A salesman has a 40% probability of making a sale to any customer who enters his department. On a typical day, he will meet 20 customers. What minimum number of sales will he have an 95% certainty of making for any given day.
21. A box contains five red, two white, and three green marbles. If a marble is selected at random, find these probabilities. b. That it is green. a. That it is red. d. That it is not green. c. That it is not red.
A box contains 3 red and 4 blue marbles. Two marbles are drawn at a time, without replacement. Use a probability tree to answer the following questions: a. Find the probability that both marbles drawn are red. b. Find the probability that the first marble drawn was blue, given that the second was red. Thank you!
A sit-down restaurant has two types of appetizers: garden salad and buffalo wings. It has three entrees: Spaghetti, steak and chicken. And it offers three types of dessert: ice cream, cake and pie. Draw a tree diagram to represent all the meals a customer can order at this restaurant. How many different meals can a customer order at this restaurant? What is the probability a diner selects a meal of salad, steak, and pie?
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A Finance professor created a multiple-choice examination with 100 questions for his students. Each question has five possible answers. Assume that a student who has done the homework and attended lectures has an 85% probability of answering any question correctly. a. If a student does not pass the examination but the student answers 28 or more questions correctly, the student can appeal to take another new examination. If pass, the highest grade can only be a passing grade, say D. Assume that a student has not attended class and has not done the homework for the course. Furthermore, assume that the student will simply guess at the answer to each question. What is the probability that this student will answer 28 or more questions correctly and have an opportunity to appeal to take another new examination?

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