probability
A system is made up of three components placed in parallel that operate simultaneously. The probability that component no. 1 functions is equal to 0.9. In the case of component no. 2, this probability is equal to 0.95 if component no. 1 functions, and to 0.8 otherwise. Finally, the probability that component no. 3 functions are equal to 0.99 if components nos. 1 and 2 functions, to 0.75 if components nos. 1 and 2 do not function, and to 0.8 otherwise.
a) Calculate the probability that the system functions.
b) Given that the system functions, what is the probability that component no. 2
functions?
c) Calculate the probability that component no. 3 functions.
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probability
A system is made of three components as given in the diagram below. Component A operates properly with probability 0.8, while each of B and C is operational with probability 0.9. The three components operate independently of each other. The probability that the whole system is operates properly is
please help ... 4-23 The guidance system design of a satellite places several components in parallel....
please help ...
4-23 The guidance system design of a satellite places several components in parallel. The system will function as long as at least one of the components is operational. In a particular satellite, 4 such components are placed in parallel. If the probability of a component operating successfully is 0.9, what is the probability of the system functioning? What is the probability of the system failing? Assume that the components operate independently of each other.
1. If the probability that C fails is 0.1 and the probability that D fails is 0.12,...
1. If the probability that C fails is 0.1 and the
probability that D fails is 0.12, find the probability that the
system functions. Round the answer to four decimal places.
2. If both C and D have probability p of failing, what
must the value of p be so that the probability that the
system functions is 0.98?
3. If three components are connected in parallel, function
independently, and each has probability p of failing, what
must the value of...
5. A system consisting of n components is said to be a k-out-of-n system (ksn) if...
5. A system consisting of n components is said to be a k-out-of-n system (ksn) if the system functions during a given mission time if and only if at least k of the n components function. Suppose that all components function independently of each other. a) If the ith component functions with probability P, i-1,2,3 derive the formula for the probability that a 2-out-of-3 system functions. b) Repeat part a) for a 3-out-of-4 system. c) Calculate the probability that the...
I want the solution for this. Stat 352 Homework Set 2 Fall 2019: Conditional Probability and...
I want the solution for this.
Stat 352 Homework Set 2 Fall 2019: Conditional Probability and Independence Deadline: Monday November 11, 2019 (1) In throwing two dice with the sample space Define the following events on : = {(x,y):x, y = 1,2,3,4,5,6). A = {sum less than 4) = {(x, y): x + y < 4, x, y = 1,2,3,4,5,6) B = {first number is 1) = {(x,y): x = 1, y = 1,2,3,4,5,6) C = {sum of number is...
I want help to solve this question A system is made up of three independent components....
I want help to solve this question
A system is made up of three independent components. It operates if at least two of the three components operate. If the reliability of each component is equal to 0.95, what is the reliability of the system?
SHOW ALL WORK! PROBLEM 3.2 (pg 87, #80-see diagrann below) Consider the system of components in...
SHOW ALL WORK!
PROBLEM 3.2 (pg 87, #80-see diagrann below) Consider the system of components in the accompanying picture. Components 3 and4 are connected in series (call this subsystem 3-4). Subsystem 3-4 will work only if both components 3 and 4 work. In order for the entire system to function, it must be the case that component 1 functions (Ai) or component 2 functions (A2) or that subsystem 3-4 functions (A34). Suppose that each individual component functions independently of all...
I want help to solve this question I want help to solve this question (9) A...
I want help to solve this question
I want help to solve this question
(9) A device is composed of two components, A and B, subject to random failures. The components are connected in parallel and, consequently, the device is down only if both components are down. The two components are not independent. We estimate that the probability of a failure of component A is equal to 0.2; a failure of component B is equal to 0.8 if component A...
In the communications networks diagrammed below, suppose that the communication link labeled 1くіく5 is working with...
In the communications networks diagrammed below, suppose that the communication link labeled 1くіく5 is working with probability pi, and fails with probability i-pi, independently of the others. What is the probability that A can communicate with B in each case, that is, the probability that there are one or more paths from A to B all of whose links are working? Give your answer as a function of pi, p2, p3, pa, ps, and simplify your formula as much as...
step by step procedure a) An electrical system consist of four components as illustrated in Figure...
step by step procedure
a) An electrical system consist of four components as illustrated in Figure 1 below. The system works if components A and B work and either of the components C or D works. The reliability of each component is also shown in figure 1. What is the probability that the entire system works? Figure 0.8 0.9 0.9 0.8
please help ...
4-23 The guidance system design of a satellite places several components in parallel. The system will function as long as at least one of the components is operational. In a particular satellite, 4 such components are placed in parallel. If the probability of a component operating successfully is 0.9, what is the probability of the system functioning? What is the probability of the system failing? Assume that the components operate independently of each other.
1. If the probability that C fails is 0.1 and the
probability that D fails is 0.12, find the probability that the
system functions. Round the answer to four decimal places.
2. If both C and D have probability p of failing, what
must the value of p be so that the probability that the
system functions is 0.98?
3. If three components are connected in parallel, function
independently, and each has probability p of failing, what
must the value of...
5. A system consisting of n components is said to be a k-out-of-n system (ksn) if the system functions during a given mission time if and only if at least k of the n components function. Suppose that all components function independently of each other. a) If the ith component functions with probability P, i-1,2,3 derive the formula for the probability that a 2-out-of-3 system functions. b) Repeat part a) for a 3-out-of-4 system. c) Calculate the probability that the...
I want the solution for this.
Stat 352 Homework Set 2 Fall 2019: Conditional Probability and Independence Deadline: Monday November 11, 2019 (1) In throwing two dice with the sample space Define the following events on : = {(x,y):x, y = 1,2,3,4,5,6). A = {sum less than 4) = {(x, y): x + y < 4, x, y = 1,2,3,4,5,6) B = {first number is 1) = {(x,y): x = 1, y = 1,2,3,4,5,6) C = {sum of number is...
I want help to solve this question
A system is made up of three independent components. It operates if at least two of the three components operate. If the reliability of each component is equal to 0.95, what is the reliability of the system?
SHOW ALL WORK!
PROBLEM 3.2 (pg 87, #80-see diagrann below) Consider the system of components in the accompanying picture. Components 3 and4 are connected in series (call this subsystem 3-4). Subsystem 3-4 will work only if both components 3 and 4 work. In order for the entire system to function, it must be the case that component 1 functions (Ai) or component 2 functions (A2) or that subsystem 3-4 functions (A34). Suppose that each individual component functions independently of all...
I want help to solve this question
I want help to solve this question
(9) A device is composed of two components, A and B, subject to random failures. The components are connected in parallel and, consequently, the device is down only if both components are down. The two components are not independent. We estimate that the probability of a failure of component A is equal to 0.2; a failure of component B is equal to 0.8 if component A...
In the communications networks diagrammed below, suppose that the communication link labeled 1くіく5 is working with probability pi, and fails with probability i-pi, independently of the others. What is the probability that A can communicate with B in each case, that is, the probability that there are one or more paths from A to B all of whose links are working? Give your answer as a function of pi, p2, p3, pa, ps, and simplify your formula as much as...
step by step procedure
a) An electrical system consist of four components as illustrated in Figure 1 below. The system works if components A and B work and either of the components C or D works. The reliability of each component is also shown in figure 1. What is the probability that the entire system works? Figure 0.8 0.9 0.9 0.8
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