Consider purchasing a system of audio components consisting of a receiver, a pair of speakers, and a CD player. Let A, be the event that the receiver functions property throughout the warrantY period bethe event that the speakers function property throughout the warranty period, and A, be the event that the CD player functions properly throughout the warranty period. Suppose that these events are(mutually) independent with P(A,) = 0.96, PLA,)- 0.93, and PLA) - 0.70. (Round your answers to four decimal places.)(a) What is the probability that all three components function property throughout the warranty period?(b) what is the probability that at least one component needs service during the warranty period?(c) What is the probabiliey that all three components need service during the warranty period?(d) What is the probability that only the receiver needs service during the warranty peried?(e) What is the probability that exactly one of the three components needs service during the warranty period?

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Answered: Consider purchasing a system of audio…

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 two end hosts, A and B, are connected by 10 links, each with packet loss probability p (0 < p < 1), and the loss probabilities for these links are independent. What is the probability that a packet sent form A is received successfully at the receiver B? Please type answer no write by hend.
An ant is at one vertex of a square and needs to get to the opposite vertex (where there is food), walking along the sides of the square. The problem is that on each side, with probability p, there may be a predator preventing it from passing. The ant tries to go through where there are no predators. It is known that the events related to the presence of the predator on each side They are independent. Find the probability that a) The ant gets its food. b) There is at least one predator in the square, knowing that the ant gets its food. c) There are 4 predators in the square, knowing that the ant did not get its food. Need help with letter b :(
The probability that Taylor Swift is Austin’s favorite music artist is .10. The probability that he will go to one of her concerts is .84. However, the probability that he does not like Taylor Swift and will go to a concert (because his wife makes him) is .75. a.) Write down the 3 pieces of information given in terms of probabilities involving event A (Taylor Swift is Austin’s favorite music artist) and event B (Austin will go to a Taylor Swift concert). b.) Summarize the above information using a probability table. c.) Find the probability that Taylor Swift is Austin’s favorite music artist or Austin will go to a Taylor Swift concert.
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Look at the 4 probability rules beow , an provide a REAL LIFE example for each. Also, with a Real LIfe EXAMPLE, explain how Disjoint events CAN be dependent. Rule 1. The probability P(A) of any event A satisfies 0 ≤ P(A) ≤ 1. Rule 2. If S is the sample space in a probability model, then P(S) = 1. Rule 3. Two events A and B are disjoint if they have no outcomes in common and so can never occur together. If A and B are disjoint, P(A or B) = P(A) + P(B) This is the addition rule for disjoint events. Rule 4. For any event A, P(A does not occur) = 1 − P(A)
A traveling salesman can be found at one of four cities (C1,C2,C3,C4) at any given time.His probability of being at these cities are P(C1) = 1/8, P(C2) = 1/8, P(C3) = 1/4, P(C4) =1/2. He always carries his cellphone with him. Let X be the event that his cellphone hascoverage. The conditional probabilities that his cell phone has coverage given what city heis at are as following: P(X|C1) = 1/2, P(X|C2) = 1, P(X|C3) = 3/4, P(X|C4) = 3/4.a. Given that today his cellphone has coverage, what is the probability that he is at city C2?b. Let Y be the event that his cellphone is at least 70% charged. He usually remembers torecharge his cell phone every evening so the probability that his cell phone is at least70% charged at any given time is 4/5. Events X and Y are independent. What is theprobability that his cellphone is less than 70% charged AND out of coverage at the sametime?
Consider purchasing a system of audio components consisting of a receiver, a pair of speakers, and a CD player. Let A₁ be the event that the receiver functions properly throughout the warranty period, A₂ be the event that the speakers function properly throughout the warranty period, and A3 be the event that the CD player functions properly throughout the warranty period. Suppose that these events are (mutually) independent with P(A₁) = 0.92, P(A₂) = 0.96, and P(A3) = 0.90. (Round your answers to four decimal places.) (a) What is the probability that all three components function properly throughout the warranty period? (b) What is the probability that at least one component needs service during the warranty period? (c) What is the probability that all three components need service during the warranty period? (d) What is the probability that only the receiver needs service during the warranty period? (e) What is the probability that exactly one of the three components needs service…
In a sample of 800 U.S. adults, 201 think that most celebrities are good role models. Two U.S. adults are selected from this sample without replacement. Complete parts (a) through (c). (a) Find the probability that both adults think most celebrities are good role models. The probability that both adults think most celebrities are good role models is (Round to three decimal places as needed.) (b) Find the probability that neither adult thinks most celebrities are good role models. The probability that neither adult thinks most celebrities are good role models is. (Round to three decimal places as needed.) (c) Find the probability that at least one of the two adults thinks most celebrities are good role models. The probability that at least one of the two adults thinks most celebrities are good role models is (Round to three decimal places as needed.)

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