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Q: A system consists of four components connected as shown in the following diagram: A Numeric Response…

A: From the given information ,A system consists of 4 components ( A,B,C,D)Given that ,0.1000.050.100…

Q: There are three kinds of vegetation in an ecosystem: grass (G), shrubs (S), and trees (T) (Bodine,…

A:

Q: Consider a system made up of three distinguishable 3-sided dice. If the macrostate of this system is…

A: When flipping a 3-sided dice, the total outcomes are 63=216 The outcomes for tossing a die are {1,…

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: 3. Real Cheap Car Rental Agency operates agencies in two cities, city 1 and city 2. The fractions of…

A:

Q: Assume that the fleet consists of 35 percent Lexus, 40 percent Infinity, and 25 percent Mercedes…

A: Given : fleet consist cars 35 percent  Lexus 40 percent  Infinity 25 percent  Mercedes cars have CD…

Q: A poll of frequent travelers asked them what they preferred for in-flight amenity if they could have…

A: Type of traveler Meal Alcohol Video Wifi Total Children 0.08 0 0.04 0.02 0.14 Young 0.12 0.02…

Q: Five companies (A, B, C, D, and E) that make electrical relays compete each year to be the sole…

A: Each year, five companies (A, B, C, D, and E) vie to become the exclusive provider of relays to a…

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

A:

Q: For example, in an area there are three companies A, B and C. Along with the impact of advertising…

A: You posted more then 3 subpart in question, so as per Bartleby Guidelines we are answering initial…

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: February 18, 2021 at 10:35 AM A system consists of five components connected as shown. Assume A, B,…

A: Given Data: The probability component A fails is: P(A')=0.1 The probability component B fails is:…

Q: small model-airplane motor has four starting components: key, battery, wire, and glow plug. What is…

A: Given: P (key work) = 0.998 P (battery work) = 0.997 P (wire work) = 0.999 P (plug work) = 0.995 All…

Q: es an overload, there is a 1% chance of a network blackout, with the percentages for B and C being…

A: A power network involves substations A, B, and C. Overloads at any of these substations might result…

Q: a) A system consists of four components connected as shown below in the following diagram. Assume A,…

A: The word probability comes from the word probable, meaning 'likely but uncertain'. Thus the…

Q: Consider a large system which consists of three separate components. These components are connected…

A: Given,Three components are connected in "parallel" in the sense that the system will fail if and…

Q: An auto insurance company classifies each motorist as "high risk" if the motorist has had at least…

A: Consider the given company’s data Let that state 1 is high risk motorist and, while state 2 is low…

Q: F) what is probability of successful system operation?

A: Here in given system probability of each component work is given

Q: 0.10, and 0.20, respectively, what is the probability that the system functions?

A: here given ,  p(A') = probability of A fail =  0.10 , so p(A) = 1- p(A') = 1 - 0.10 = 0.9  p(B') =…

Q: Assume that the fleet consists of 30 percent Lexus, 30 percent Infinity, and 40 percent automobiles.…

A: It is provided that fleet consists of 30% Lexus, 30% Infinity and 40% Mercedes automobiles. 80% of…

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.