Consider the following system with five components. It operates only if there is a path of functional components from left to the right. The probability that each device functions is as shown. What is the probability that the circuit operates? Assume independence. A. 0.84 B. 0.16 C. 0.035 D. 0.50 E. none of the preceding

Q: What is the probability that the current goes from a to b? Each component is independent and the…

A: Independent Events: A number of events are said to be independent if the probability of occurrence…

Q: A circuit operates as long as there is a functional path, which does not include any dysfunctional…

A:

Q: for the binary system if the entropy =0.9710, so the probabilities are:

A:

Q: There is a system consisting of components. Each component functions with probability p = 0.9,…

A: Given a system consisting of components with each component functions with probability , independent…

Q: A place kicker in pro football has a 77% probability of making a field goal over 40 yards, and each…

A: There is 77% chance that the place kicker can make a field goal over 40 yards.

Q: Fill in the blank. The states that if, under a given assumption, the probability of a particular…

A: As we know That the rare rule in the inferential statistics states then when the probability if very…

Q: Backups with .71 probability and a switch that is 96 percent reliable. (Do not round your…

A:

Q: 1% 1% 1% 10% 10% 10%

A: When the blocks are in series the effective probability of failure is the product of individual…

Q: A circuit system is given below . Assume the components fail independently.Given the system works,…

A: Given information: P(A)=0.7P(B)=0.7P(C)=0.8P(D)=0.8P(E)=0.8 PSystem I=PA∩B=PA×PB=0.7×0.7=0.49PSystem…

Q: EXAMPLE 6.67 If λ = 2 per hour and μ = 3 per hour in an M/M/4/N queueing system and there are 2…

A:

Q: Question: A rat is trapped in a maze. Initially he has to choose one of two directions. If he goes…

A: Given that: The rat can choose either left or right. If he goes to the right, then he will wander in…

Q: Q-4 The following cireuit operates if and only if there is a path of functional devices from left to…

A: See the handwritten solution

Q: Tyrone, Jim, Simone, and Katrina have all been invited to a dinner party. They arrive randomly and…

A: a) Four persons are invited for dinner party and each arrives at different time. No of ways they…

Q: having to repeat the year, and a 0.56 probability of finishing the year. Use the states shown to the…

A:

Q: In the switching circuit shown below, the switches are assumed to operate randomly and…

A: The circuit will have a complete path if: Either switch A,B,C are all closed or Switch A and D are…

Q: Refer to the figure below in which surge protectors p and q are used to protect an expensive…

A: * SOLUTION :-  Given that ,  The p and q are two surge protectors  The probability of working each…

Q: Fill in the blank. The states that if, under a given assumption, the probability of a particular…

A: Given dataFill in the blank  The_____states that if under a given assumption the probability of a…

Q: A system contains two components, A and B. The system will function only if both component function.…

A: A system contains two components, A and B. The system will function only if both component function.…

Q: The following circuit operates if and only if there is a path of functional devices from left to…

A: The circuit has two paths and each path has 3 devices which connected in series.    The path works…

Q: A B 0.7 0.7 D 0.8 0.8 0.8 A system is given in the diagram. What is the probability that the entire…

A: a). The probability that the entire system works: PA=0.7, PB=0.7PC=0.8, PD=0.8, PE=0.8 The required…

Q: Fill in the blank. The states that if, under a given assumption, the probability of a particular…

A: Fill in the blank? The --------- states that If, under a given assumption, the probability of a…

Q: d. What is the probability that on the 10th try she will make her first successful serve? e. What is…

A: Here Given  .Not skilled Volleyball person has 15 percent chance of making the serve  So Here…

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.