Question: A parallel system functions whenever at least one of its components works. Consider a parallel system of n components, and suppose that each component works

A parallel system functions whenever at least one of its components works. Consider a parallel system of n components, and suppose that each component works independently with probability 1/2. Find the conditional probability that component 1 works given that the system is functioning.

Step by Step Solution

★★★★★

3.39 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Let W and F be the events t... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

588-M-S-P (3795).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

A parallel system is one that functions as long as at least one component of it functions. A particular parallel system is composed of three independent components, each of which has a lifelength...

A system contains two components, C and D, connected in parallel as shown in the diagram. Assume C and D function independently. For the system to function, either C or D must function. a. If the...

A parallel system functions whenever at least one of its components works. Consider a parallel system of n components, and suppose that each component independently works with probability 12 . Find...

41. Aparallel system functions whenever at least one of its components works. Consider a parallel system of n components, and suppose that each component independently works with probability 12 ....

Q)A parallel system functions whenever at least one of its components works. Consider a parallel system of components and suppose that each component works independently with probability 0.5. Find...

41. A parallel system functions whenever at least one of its components works. Consider a parallel system of n components, and suppose that each component independently works with probability 1 2 ....

49. A parallel system functions whenever at least one of its components works. Consider a parallel system of *n* components and suppose that each component independently works with probability...

A parallel system functions whenever at least one of the three componentsA, B,andC works, with probability0.8,0.4, and 0.5respectively. Find the conditional probability: (a) The componentA works,...

4.2.2 A system consists of two components operating in parallel: The system functions if at least one of the components is operating. In any single period, if both components are operating at the...

Three polarizing sheets are stacked. The first and third are crossed; the one between has its polarizing direction at 45.0 to the polarizing directions of the other two. What fraction of the...

Explain for loop with the help of example.

The difference between a convertible bond and a bond with warrants is that A ) a bond with warrants has an embedded put option, and a convertible bond has an embedded call option. B ) when warrants...

$7-8. Robin Dillon has recently accepted a new job in the Washington, D.C ., area and has been hunting for a condo- minium to purchase. From friends and coworkers she has compiled a list of five...

Prove the following relations: EF E E F.

An elevator starts at the basement with 8 people (not including the elevator operator) and discharges them all by the time it reaches the top floor, number 6. In how many ways could the operator have...

If 8 identical blackboards are to be divided among 4 schools, how many divisions are possible? How many if each school must receive at least 1 blackboard?

Suppose you are 45 years old this year and plan to retire 15 years from now. You have just signed a contract to put a certain amount of annual contributions into the EYF retirement plan. It is...

Please give formulas and explain how you got the answer, thanks! E12-21A (similar to) Question Help Caruso Hardware is adding a new product line that will require an investment of $1,418,000....

Given an array, arr, of distinct elements and two numbers a and b, write a function void findMissing(int arr[], int n, int a, int b ), which finds and sorts all numbers that are in the range between...