Problem 1A batch of 500 Johnson rods contains five that are defective. Two are selected at random fromthe batch.a. Do you think the probability of the selection of defective (or nondefective, for thatmatter) Johnson rods is independent? Why?b.What is the probability that the second one selected is defective given that the first onewas defective?c. What is the probability that both are defective?d. What is the probability that both are nondefective?

a). Probability of the selection of defective Johnson rods will be independent if both are drawn…

Answered: Problem 1 A batch of 500 Johnson rods…

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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In a particular meeting, there are 10 people: 5 are accountants, 3 are lawyers, and 2 are engineers. We need to choose a 3-member committee at random to write up the meeting report. If we draw three names from a hat, which of the following correctly calculates the probability that we choose an accountant, followed by another accountant, followed by an engineer? Note that this process is just like drawing cards from a card deck without replacement! i. ii. 115 iv. X :2 510 CGP 5 10 5 5 5 2 10 10 10 X X X 12 49 X 4 2 X 10 10 X - X 218 -10 45
Two balanced dice are thrown, one red and one black. What is the probability that the red die comes up 1, given that the a. black die comes up 3? b. sum of the dice is 4? c. sum of the dice is 9?
4 children. He makes a fast, wrong estimate of the probability of various mixes of boys and girls among QUESTION 3. Mr. Fastwrong is working for the census department and he is counting families that have the families. His assistant, Ms. Slowright, analyzes the issue and corrects his work. Fill her corrections of his wrong guesses into the table below. Number of boys among the 4 children 1 0 4 3 2 Number of girls among the 4 children 0 1 2 4 Use fractions (not percents) in your answers. Mr. Fastwrong's estimate of the fraction of families having this distribution of boys and girls 1/5 1/5 1/5 1/5 1/5 Ms. Slowright's estimate of the fraction of families having this distribution of boys and girls
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1. The probability that a manufactured bulb works properly is 98%. a. In a pack of six, what's the probability that all bulbs work? b. In a pack of six, what's the probability that 4 or less work? c. In a pack of 8, what's the probability that more than 5 work? d. In a pack of 10, what's the probability that exactly half work? In a pack of 4, what's the probability that all are broken?
1. In a candy jar, there are 20 blueberry and 12 cherry gumballs. If you randomly select two gumballs from this jar, what is the probability that both of them are the same flavor?Round your answer to 3 places after the decimal point, if necessary; or enter your answer as a fraction. 2. In the manufacturing division of a particular company, there are 79 managers and 38 supervisors. If two employees from the manufacturing division are randomly selected to represent the company at an upcoming conference, what is the probability that both employees have the same job title?Round your answer to 3 places after the decimal point, if necessary; or enter your answer as a fraction. 3.
A. Suppose you close your eyes and randomly select one M&M from your pile, find the probability of grabbing a color that contains the letter “r”or a color that contains the letter “o”. B. Suppose you close your eyes and randomly select one M&M from your pile, replace that M&M, and select another M&M from the pile. What is the probability that you will select an orange and a yellow M&M? C. Suppose you close your eyes and randomly select two M&M’s from your pile, without replacing the first M&M. What is the probability that you will select a red and a blue M&M?
3. If a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probabilitythat three students randomly selected for a group are all freshmen?

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