A technology manufacturing companyhas recently switched to theproduction of isolinear processors.They can make 400 processors everyhour, however the probability that arandomly chosen processor worksproperly is 50%. Determine theprobability that, of the 400 processorsmade this hour, at most 208 areworking properly.

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Answered: A technology manufacturing company has…

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 large school, it was found that 69% of students are taking a math class, 75% of student are taking an English class, and 65% of students are taking both.Find the probability that a randomly selected student is taking a math class or an English class. Write your answer as a decimal, and round to 2 decimal places if necessary.Find the probability that a randomly selected student is taking neither a math class nor an English class. Write your answer as a decimal, and round to 2 decimal places if necessary.
A board is made up of 16 squares. Each square can only fit one coin. The four squares in the center of the board are gray and the rest is white. Malcolm randomly tosses a coin blindfolded. Without removing the first coin, he tosses another coin. Given that both coins land in the squares on the board, find the probability that the first coin lands on a white square and the second coin lands on a gray square. Also, find the probability that both coins land on gray squares.
At a local high school, 15% of the students have blue eyes. Each day, 9% of the blue-eyed students wear sunglasses on their way to school, while only 2% of the students with non-blue eyes wear sunglasses. Find the probability that a randomly selected student has blue eyes given that they wore sunglasses on their way to school.
Julio rolls a 6 sided red die and a 6 sided black die, if the red die lands on 3 and the sum of the 2 die is greater than 5. Julio wins a point. Determine the probability that Julio will win a point.
A basketball player hits three-point shots 45% of the time. If she takes 4 shots during the game, what is the probability that she misses the first shot and hits the last three shots?
Imagine an animal that shows two variants; one long-legged and one short-legged. Each female produces 2 female offspring per generation and then dies. The offspring of the long-legged ones survive to adulthood (reproductive age) with a probability of 55% and the offspring of the short-legged ones survive to adulthood with a probability of 45%. If you begin with a population of 60 females of each type, what proportion of individuals will have long legs in 5 generations? (Note that you can ignore males and count only females and their offspring.) Show all work.
Lydia is a project manager and submitted proposals for two different projects, Project X and Project Y to her boss. The probability of getting project X approved is 0.65. The probability of getting project Y approved is 0.77. The probability of getting at least one of the projects approved 0.90. The two projects are independent. True or False
An analyst is presented with lists of 4 stocks and 5 bonds. He is asked to predict, in order, the 2 stocks that will yield the highest return over the next year and the 2 bonds that will have the highest return over the next year. Suppose that these predictions are made randomly and independently of each other. What is the probability that the analyst will be successful in at least 1 of the 2 tasks?
John can take one of two highways, Interstate A and Interstate B, to get to work each day. The probability that there will be a traffic jam on Interstate A on a given day is 0.65, and the probability that there will be a traffic jam on Interstate B is 0.2. The probability that there will be a traffic jam on at least one of Interstate A or Interstate B is 0.8. Determine the probability that both Interstate A and B will be congested. 0.235 None in the list 0.050 0.062 0.765 Submit Answer Tries 0/3 Determine the probability that Interstate B is congested given that Interstate A is congested. 0.250 0.077 0.812 0.062 None in the list Submit Answer Tries 0/3 Determine the probability that there is a traffic jam on Interstate A given that at least one of the Interstates has a traffic jam. 0.062 None in the list 0.250 0.812 0.077
A small computer lab has 2 terminals. The number of students working in this lab is recordedat the end of every hour. A computer assistant notices the following pattern:- If there are 0 or 1 students in a lab, then the number of students in 1 hour has a50-50% chance to increase by 1 or remain unchanged. - If there are 2 students in a lab, then the number of students in 1 hour has a 50-50%chance to decrease by 1 or remain unchanged. (a) Write the transition probability matrix for this Markov chain.(b) Suppose there is nobody in the lab at 7 am. What is the probability of nobody workingin the lab at 10 am?
Among a student group 51% use Google Chrome, 20% Internet Explorer, 10% Firefox, 5% Mozilla, and the rest use Safari. What is the probability that you need to pick 7 students to find 2 students using Google Chrome? Report answer to 3 decimals.
Suppose a system will work if any one of the 10 different components work. The probability that a particular component works is 0.222, independently of all the other components. Find the probability that the system works.

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A technology manufacturing company has recently switched to the production of isolinear processors. They can make 400 processors every hour, however the probability that a randomly chosen processor works properly is 50%. Determine the probability that, of the 400 processors