Problem 01:A circuit system is given in the figure below. Assume the components fail independently.Probabilities shown are of each component working fine individually.0.8B0.7A0.9C0.6D0.8E(a) What is the probability that the entire system works?(b) Given that the system works, what is the probability that the component B is notworking?

Answered: Image /qna-images/answer/8c732daa-a2ae-4945-9f97-346dc5fe6fa2.jpg

Answered: Problem 01: A circuit system is given…

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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Of 100 students, 27 can speak French F, 36 can speak German G, and 14 can speak both French and German. How many students speak neither French nor German? Oa. 49 O b.35 O c. 51 Od. 63 O e. 14
What would be the correct way of doing this?
Question 2: For a certain airline, there is a 75% probability that a given flight will depart on-time, an 80% probability of an on-time arrival, and a 60% probability of both an on-time departure and arrival. What is the probability that this flight will either depart on-time or arrive on-time? Is on-time arrival independent of on-time departure?
Problem 1.3 (Video 1.3, 1.4, Lecture Problem) Thor is trying to determine Loki's recent whereabouts. His approach is to go to a random planet and ask the local leader, "Has Loki visited this planet recently?" to which they will answer either "Yes" or "No." There is one problem: some of the planets are secretly controlled by Loki and the leaders will lie to protect him. The probability that a planet is controlled by Loki is 1/3. The probability that Loki has visited a planet recently is 1/2 if he controls it and 1/4 if he does not control it. If the planet is controlled by Loki, the leader will lie with probability 3/4. If the planet is not controlled by Loki, a leader will lie with probability 1/5 (for their own reasons that have nothing to do with Loki). (b) Determine the probability that Loki does not control the planet and Loki has visited recently and the leader answers "Yes," P[CcnVnY]. (c) Determine the probability that the leader answers "Yes" given that Loki has visited…
Question 2 There are three math students (Ann, Kim and Billie) waiting for their turn to work with the math tutor Alec. Alec works with two student at a time and only has time to see one group of two students. What is the probability that Kim gets to see Alec ? 3/P(3, 2) O 2/C(3, 2)
Problem 1 The University of Oklahoma has a renowned radar research program within the School of Electrical and Computer Engineering. Say that there are two radar prototypes under development, A1 and A2, and the effectiveness of each is determined by their ability to spatially detect a particular object. A1 has a probability of 0.5 of detecting the object, and A2 has probability 0.3 of detecting the object. a. Find the probability that the object is detected. b. Find the probability that the object is detected by exactly one of the radar prototypes. c. Given that the object was detected by exactly one of the prototypes, find the probability that it was A1 that detected it.
Problem #8: The backoff torque required to remove bolts in a steel plate is rated as high, moderate, or low. Historically, the probability of a high, moderate, or low rating is 0.57, 0.23, or 0.2, respectively. A sample of 16 bolts are selected for testing. Let X, Y, and Z denote the number of bolts that are independently rated as high, moderate, and low, respectively. Determine the following probabilities. Problem #8(a): Problem #8(b): (a) P(X= 11, Y=2, Z=3) (b) P(X=7| Y= 4) Answer correct to 4 decimals Answer correct to 4 decimals
Rework problem 2 from section 4.1 of your text involving the computation of probabilities for Bernoulli trials. Use the following values instead of those found in your book. (1) 3 successes in 5 trials with p = 0.7: (2) 2 successes in 5 trials with p = 0.3: (3) 0 successes in 4 trials with p = 1616

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