Mathematics, 04.10.2020 18:01 imamnaab5710

7. There are 1000 different components in the system that your department has just designed. The objective is that for each of the systems that you deliver to a customer, it should have a probability of 0.999 of functioning properly. Your system is such that at most 8 components can be bad for it to still function. What must be the maximum probability for each of your components to fail for you to achieve your objective

Answers: 2

Show answers

Answers

The maximum probability for each of the components in a system to fail, for you to still achieve your objective, is 0.008992

Step-by-step explanation:

- There are 1,000 different components in each system.

- The Objective:

Each system should have a 0.999 probability of functioning properly. In other words, your department (or you) expects that each system will have a high probability of functioning properly, hence the closeness of 0.999 to 1.

- Each system is such that at most 8 components out of 1,000 can be bad, for it to still function.

- Question:

What must be the maximum probability for each component in a system to fail, for the system to still have a 0.999 probability of functioning properly?

When the question says maximum, you need to assume that for each system, 8 components are actually bad!

1000 - 8 = 992

So with 992 components (at least or minimum) functioning, a system will still function.

Next Step:

Since the objective (the expected probability) for a system to function is 0.999, the probability of each of the minimum 992 components to function (which is same as the maximum probability for each of the 1,000 components to function) is

992/1000 × 0.999

=0.992 × 0.999

=0.991008

Now, remember that the question says fail, not succeed. So, if the figure above is the maximum success rate for each of the 1,000 component parts (same as the success rate for each of the minimum of 992 component parts), then the failure rate or probability is (1 - 0.991008 = 0.008992).

FINAL ANSWER:

The maximum probability for each of the components in a system to fail, for you to still achieve your objective, is 0.008992

Answer from: Quest

You need to divide 210 square inches by 35 inches and that’s going to give you 6 inches and that’s the length of the hypothenuse of the right triangle i hope that this you : )
Pllzz hellp ! will give branliest !

Answer from: Quest

answer: c

because if you look at the chart you can see a pattern and compare it to the question he simplify out your

but i think the formula is f(x)=6x

49 points me! it's a multiple choice, but still show your work so i know you're right. you so so

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 15:50, winterblanco

Which of the following is the equation that says that the product of a number and ten is equal to 20 percent of that number ? a) 10n= 2.0n b) 10+n=.20n c) n+ .20n=10 d) 10n=0.20n

Answers: 1

continue

Mathematics, 21.06.2019 16:50, QueenDarbane9696

Which is a true statement about an exterior angle of a triangle a. it is formed by two segments that are not sides of the triangle, b. it forms a linear pair with one of the interior angles of the triangle, c. it is complementary to one of the interior angles of the triangle. d. it is formed by two segments that are sides of the triangle.

Answers: 2

continue

Mathematics, 21.06.2019 17:30, Hilljos018

The length of triangle base is 26. a line, which is parallel to the base divides the triangle into two equal area parts. find the length of the segment between triangle legs.

Answers: 3

continue

Mathematics, 21.06.2019 17:30, xdpugx0

Write an expression that has three terms and simplifies to 4x - 7. identify the coefficient(s) and constant(s) in your expression

Answers: 1

continue

You know the right answer?

7. There are 1000 different components in the system that your department has just designed. The obj...