Mathematics, 05.10.2019 17:30 mawawakaiii

Assume that there is a 5% rate of disk drive failure in a year. a. if all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. if copies of all your computer data are stored on three three independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive?

Answers: 2

Show answers

Answers

Probability of survival of one disk, p=1-0.05=0.95
If there are n drives, and failures are independent (e.g. mechanical wear and tear, and not a lightning strike or a current spike), then
Probability of survival = p^n
(a) for two disks, P(2) = 0.95^2=0.9025
(b)for three disks P(3) = 0.95^3 = 0.8574

Answer from: dinarussell74

The probability that during a year, you can avoid catastrophe with at least one working drive is 0.9975

The probability that during a year, you can avoid catastrophe with at least one working drive is 0.999875

Step-by-step explanation:

There is a 5% rate of disk drive failure in a year

So, probability of failure q = 0.05

Since the sum of probabilities = 1

So, probability of success p= 1-0.05

=0.95

Part a : all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive

So, n =2

We are required to find what is the probability that during a year, you can avoid catastrophe with at least one working drive

So, he probability that during a year, you can avoid catastrophe with at least one working drive :

$1-(^2C_0 \times p^0\times q^2)$

$1-(\frac{2!}{0!(2-0)!}\times (0.95)^0\times(0.05)^2)$

$1-(1\times0.0025)$

0.9975

Hence the probability that during a year, you can avoid catastrophe with at least one working drive is 0.9975

Part b : If copies of all your computer data are stored on three three independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive?

Since there are 3 copies so, n =3

So, the probability that during a year, you can avoid catastrophe with at least one working drive:

$1-(^3C_0 \times p^0\times q^2)$

$1-(\frac{3!}{0!(3-0)!} \times (0.95)^0\times(0.05)^3)$

$1-(1\times0.000125)$

0.999875

Hence the probability that during a year, you can avoid catastrophe with at least one working drive is 0.999875

Answer from: Quest

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes.

step-by-step explanation:

Answer from: Quest

bull

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 20:30

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.

Answers: 1

Answer

Mathematics, 22.06.2019 04:00

What is the measure of ba (the minor arc) in the diagram below?

Answers: 3

Answer

Mathematics, 22.06.2019 05:30

Ty received 3/5 of his cds as gifts. if he has 60 cds, how many were gifts. explain:

Answers: 2

Answer

Mathematics, 22.06.2019 06:00

Do u add or subtract after u multiply