10. A network of switches a, b, c, and d is connected across the power lines A and B as shown inthe sketch. Assume that the switches operate electrically and have independent operatingmechanisms. All are controlled simultaneously by the same impulses; that is, it is intended thaton an impulse all switches shall close simultaneously. But each switch has a probability p offailure (it will not close when it should).AaCdePower linesbdBa. What is the probability that the circuit from A to B will fail to close?b. If a line is added on at e, as indicated in the sketch, what is the probability that the circuitfrom A to B will fail to close?c. If a line and switch are added at e, what is the probability that the circuit from A to B will failto close?

Considering the probability of fail = p Circuit Power lines A to B Switches a, b, c, and d…

Answered: 10. A network of switches a, b, c, and…

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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X Compute A; Btr BAILB tr BA, ( BAD B e 4 -5 e- -3 5 -4
A building contains 1000 lightbulbs. Each bulb lasts at most five months. The company maintaining the building is trying to decide whether it is worthwhile to practice a “group replacement” policy. Under a group replacement policy, all bulbs are replaced every T months (where T is to be determined). Also, bulbs are replaced when they burn out. Assume that it costs $0.05 to replace each bulb during a group replacement and $0.20 to replace each burned-out bulb if it is replaced individually. How would you use simulation to determine whether a group replacement policy is worthwhile?
Why do zebras have stripes? One hypothesis is that stripes help keep biting flies away. Trinity wants to test this hypothesis with an experiment. She will use 15 horses as the subjects in her experiment, and assign them to 3 treatments, as follows: 5 horses will wear a fabric coat that is printed with zebra stripes, as shown above 5 horses will wear nothing 5 horses will wear a fabric coat that is printed with a solid grey colour Trinity will record a video of each horse for 1 hour. She will use the video to determine the number of biting flies that land on the horse's back. a) What types of experimental group do each of (i), (ii), and (iii) represent? Choose from: Main experimental treatment group Classical control Positive control Negative control b) Why is it important for Trinity to include group (iii) in her study? Provide a brief explanation. Hint: you can describe potential scenarios for results to help explain why group (iii) is needed. c) Can you suggest ONE potential…
Roll a fair sided die three times. Let A1 = {1 or 2 on the first roll }, A2 = {3 or 4 on the second roll}, and A3 = {5 or 6 on the third roll}. It is given that P(Ai ) = 1/3, i = 1,2,3; P(Ai intersection Aj) = (1/3)2 , i cannot equal j; and P(A1 intersection A2 intersection A3) = (1/3)3 a) use theorem 1.1-6 to find P(A1 union A2 union A3) b) show that P(A1 union A2 union A3) = 1-(1-1/3)3
a. What is the probability of seeing positive change? b. What is the probability of seeing positive change given that the tree is oak? c. Do the data suggest effect and tree type are independent events? yes or no
I need assistance with parts D, and E
(4) Assume that a website www.funwithmath1600.ag has three pages: Page A: KingAlgebra Page B: Learn1600andWin • Page C: Linear AlgbraIsEverywhere Each page has some links to the other pages of this website and no pages links to any page outside this website. Page A has three links to page B and only one link to page C. • Page B has three links to page A and two links to page C. • Page C has one link to page A and two links to page B. A student decides to explore this website starting from page A. Since reading content is always a boring task (is it?!) they decide to choose one of the links in page A with equal probability and click on the link to see the next page. As a result, on the next step, they will end up on page B with probability 3/4 and on the page C with probability 1/4. This process is then continued by the student with the same rule: Go the next page by clicking, with equal probability, on one of the existing links that are on the present page. (Use only fractions in your…

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