The following circuit operates if and only ifthere is a path of functional devices from left to right. Theprobability that each device functions is as shown. Assume that the probability that a device is functional doesnot depend on whether or not other devices are functional. What is the probability that the circuit operate?0.90.90.80.950.90.950.950.80.950.70.950.9

we have consider the 1st circuit here and labelled the devices,also The concept used here is that:if…

Answered: The following circuit operates if and…

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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The probability that it is a brand A computer is (Type a decimal. Round to three decimal places if needed.) There are three parts The probability that it is a brand B computer (Type a decimal. Round to three decimal places if needed.) The probability that it is a brand C computer is (Type a decimal. Round to three decimal places if needed.)
Suppose that whether it rains in a certain city tomorrow depends on the weather conditions for today and yesterday. Climate data shows the following: If it rained yesterday and today, then it will rain tomorrow with probability 0.52. If it rained yesterday but not today, then it will rain tomorrow with probability 0.24. If it rained today but not yesterday, then it will rain tomorrow with probability 0.43. If it did not rain yesterday and today, then it will rain tomorrow with probability 0.34. Over the course of a year, about how many days in the city are rainy according to the model? The transition matrix for this Markov chain is given below. P= 0.52 0 0.43 0 0.48 0 0.57 0 0 0.24 0 0.34 0 0.76 0 0.66 O Over the course of a year, there are about rainy days. (Round to the nearest day as needed.)
The following table represents undergraduate students at a local university. One student is chosen at random. Give your answer as a decimal out to at least 4 places. Freshman Sophomore Junior Senior Total Live On Campus 2294 2188 1724 1888 8094 Live Off Campus 3831 4286 4925 822 13864 Total 6125 6474 6649 2710 21958 a) Find the probability that the student lives off campus or is a junior. b) Find the probability that the student lives on campus and is a senior. c) Find the probability that the student is a freshman given that they live on campus. d) Are the events Freshman and Live on Campus mutually exclusive? Why? Yes, since the P(Freshman | Live On Campus) = P(Freshman) Yes, since P(Freshman ∩∩ Live On Campus) = 0.1045 ≠ 0 No, since P(Freshman ∩∩ Live On Campus) = 0.1045 ≠ 0 Yes, since you can be a freshman that lives on campus No, since P(Freshman ∩∩ Live On Campus) = 0.1045 ≠ P(Freshman)*P(Live On Campus) = 0.1028 Yes, since P(Freshman ∩∩ Live On Campus) =…
Párcels from sender S to receiver R pass sequentially through two post-offices. Each post- office has a probability 1/5 of losing an incoming parcel, independently of all other parcels. Given that a parcel is lost, the probability that it was lost by the second post-office is
You purchase a brand new car for $15,000 and insure it. The policy pays 78% of the car's value if there is an issue with the engine or 30% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.009, and the probability there is an issue with the speaker system is 0.02. The premium for the policy is p. Let X be the insurance company's net gain from this policy. (a) Create a probability distribution for X, using p to represent the premium on the policy. Enter the possible values of X in ascending order from left to right. P(X) (b) Compute the minimum amount the insurance company will charge for this policy. Round your answer to the nearest cent
A binary communication channel carries data as one of two types of signals denoted by 0 and 1. Owing tonoise, a transmitted 0 is sometimes received as a 1 and a transmitted 1 is sometimes received as a 0. For agiven channel, assume a probability of 0.94 that a transmitted 0 is correctly received as a 0 and a probability0.91 that a transmitted 1 is received as a 1. Further assume a probability of 0.45 of transmitting a 0. If asignal is sent, determine1. Probability that a 1 is received2. Probability that a 0 is received3. Probability that a 1 was transmitted given that a 1 was received4. Probability that a 0 was transmitted given that a 0 was received5. Probability of an error
Suppose that the probability is 0.0122 that a person who purchases a ticket for an airplane does not show up for the flight. If 250 tickets are sold for an airplane flight that has 247 seats what is the probability that there will not be enough seats available for this flight? O A. 0.1900 B. 0.6360 O C. 0.5893 O D. 0.4107
The number of correct receptions is noted after three bits are transmitted across a noisy channel. Please find the probability that the number of correctly received bits is two, assuming bit errors are mutually independent and that on each bit transmission the probability of correct reception is 1/3. O a. 1/3 O b. 1/9 O c. 2/3 O d. 2/9 O e. 3/8
Let A and B be two events such that the probability of B is 0.5 and the probability of both is 0.2. Find the probability of A given that B occurs.

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