The printing machine consists of three parts A, B, C. The Probability of part A failure is 0.1. Theprobability of failure for B is 0.2 given A is broken, and 0.1 otherwise. The probability of Cfailing is 0.2 given B is broken and 0.1 otherwise. The "call the master" signal lights up if at leasttwo parts out of three are out of order. I can fix the printer if only two parts are broken,otherwise, I will only spoil everything. What is the conditional probability that I don't need toundertake repairs, given that the call the master" signal is on?AnouO

Answered: The printing machine consists of three…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that the space shuttle has three separate computer control systems. The main system and two backup duplicates of it. The first back up would monitor the main system and kick in in the main system failed. Similarly, the second backup would monitor the first. We can assume that a failure of one system is independent of a failure of another system since the systems are separate. The probability of failure for any one system on any one mission is know to be 0.011. Find the probability that the shuttle is left with no computer control system on a mission.
Refer to the figure below in which surge protectors p and q are used to protect an expensive high-definition television. If there is a surge in the voltage, the surge protector reduces it to a safe level. Assume that each surge protector has a 0.96 probability of working correctly when a voltage surge occurs. Complete parts (a) through (c) below. D-P-q- TV Series Configuration H TV O Parallel Configuration a. If the two surge protectors are arranged in series, what is the probability that a voltage surge will not damage the television? (Do not round.) b. If the two surge protectors are arranged in parallel, what is the probability that a voltage surge will not damage the television? (Do not round.) c. Which arrangement should be used for better protection? O The series arrangment provides better protection because it has a lower probability of protection. The parallel arrangment provides better protection because it has a lower probability of protection. The series arrangment provides…
You are a paranoid delusional statistician with far too much time on your hands. One day, you sit down to have a bowl of soup. This bowl of soup happens to be Tic-Tac-Toe themed, meaning that you stir have some noodles that are shaped like an X, and some that are shaped like an O. As your soup, you notice that this bowl seems to have a particularly high number of X- you shaped noodles in it. Being paranoid, you conclude that this has some meaning-like someone is trying to give you a message, possibly warning you of the dangers of x-rays. You jump out of your seat and run to get your x-ray-proof cape, and then you pause for a moment and think that you should calculate a chi-square statistic for the frequency of X-shaped noodles before freaking out. First, you carefully separate each of the noodles by shape and count them. Here is what you find: Frequency of Noodles X-shaped O-shaped 33 21 1. What type of chi-square design is this (check one box)? OTwo-cell ОThree-cell OTwo-by-two…
A researcher wonders if there an association between the incidence of colds and the amount of Vitamin C taken. He recruits 93 volunteers and randomly assigns 26 of them to take 500 mg of Vitamin C, 18 of them to take 1000 mg of Vitamin C and the rest to take no Vitamin C. At the end of the study, it was determined that 30 of the volunteers did not have any colds where 15 of them were in the 500 mg group, 11 of them were in the 1000 mg group, and the rest took no Vitamin C. Test the appropriate hypothesis at a = 0.01. Round your answers to three decimal places, if necessary. Fill in the hypotheses below: Ho: There is not vitamin C taken. Ha: There is vitamin C taken. Complete the table of expected counts under the null hypothesis: No Vitamin C 500mg Vitamin C 1000mg Vitamin C No Vitamin C 500mg Vitamin C 1000mg Vitamin C At least one cold 33.194 an association between the incidence of colds and the amount of an association between the incidence of colds and the amount of 17.613 12.194…
Suppose that a new Internet company Mumble.com requires all employees to take a drug test. Mumble.com can afford only the inexpensive drug test—the onewith a 5% false-positive rate and a 10% false-negativerate. (That means that 5% of those who are not usingdrugs will incorrectly test positive and that 10% of thosewho are actually using drugs will test negative.) Supposethat 10% of those who work for Mumble.com are usingthe drugs for which Mumble is checking. (Hint: It maybe helpful to draw a tree diagram to answer the questionsthat follow.)a. If one employee is chosen at random, what is theprobability that the employee both uses drugs and testspositive?b. If one employee is chosen at random, what is theprobability that the employee does not use drugs buttests positive anyway?c. If one employee is chosen at random, what is the probability that the employee tests positive?d. If we know that a randomly chosen employee has testedpositive, what is the probability that he or she usesdrugs?
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The weather in Columbus is either good, indifferent, or bad on any given day. If the weather is good today, there is a 40% chance it will be good tomorrow, a 30% chance it will be indifferent, and a 30% chance it will be bad. If the weather is indifferent today, there is a 50% chance it will be good tomorrow, and a 20% chance it will be indifferent. Finally, if the weather is bad today, there is a 10% chance it will be good tomorrow and a 30% chance it will be indifferent. a. What is the stochastic matrix, P, for this situation? b. Suppose there is a 10% chance of good weather today and a 90% chance of indifferent weather. What are the chances of bad weather tomorrow? c. Suppose the predicted weather for Monday is 40% indifferent weather and 60% bad weather. What are the chances for good weather on Wednesday? a. Create the stochastic matrix, P, where G is good, I is indifferent, and B is Bad. From: GIB a (Simplify your answers.) To: G
The three-year recidivism rate of parolees in a certain state is about 20%; that is, 20% of parolees end up back in prison within three years. Assume that whether one parolee returns to prison is independent of whether any of the others return. Complete parts a and b below. Find the probability that exactly 6 out of 20 parolees will end up back in prison within three years. The probability that exactly 6 out of 20 parolees will end up back in prison is nothing.
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Jack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.

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