Х Solve for x. 43° 22

Assume that there is a 8% rate of disk drive failure in a year. a. If all your computer data is stored on a hard disk drive wit

romanna [79]

Answer:

0.9936 = 99.36% probability that during a year, you can avoid catastrophe with at least one working drive

Step-by-step explanation:

For each disk, there are only two possible outcomes. Either it works, or it does not. The probability of a disk working is independent of any other disk, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Assume that there is a 8% rate of disk drive failure in a year.

So 100 - 8 = 92% probability of working, which means that $p = 0.92$

Two disks are used:

This means that $n = 2$

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

This is:

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{2,0}.(0.92)^{0}.(0.08)^{2} = 0.0064$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0064 = 0.9936$

0.9936 = 99.36% probability that during a year, you can avoid catastrophe with at least one working drive

8 0

2 years ago

Please help! I will mark brainliest!

Nesterboy [21]

Answer:

please mark brainlist

Step-by-step explanation:

length is 10 , 15 , 20 , 25

width is 3 , 9 , 12 , 15

8 0

2 years ago

A laundry basket has 24 socks in it. Six were navy, 10 were black, and the remaining were white, What is the probability of draw

anzhelika [568]

736I yeiiwywywuwiwo92772[^£\£\£\^€]18726368384>¥>

8 0

2 years ago

Read 2 more answers

Write an equation of the line that passes through the point (–1, 4) with slope 2. A. y+1=−2(x−4) B. y+1=2(x−4) C. y−4=2(x+1) D.

In-s [12.5K]

Answer:

$y-4=2\,(x+1)$

which agrees with answer C in your list of possible answers.

Step-by-step explanation:

We can use the general point-slope form of a line of slope m and going through the point $(x_0, y_0)$ :

$y-y_0=m(x-x_0)$

which in our case, given the info on the slope (2) and the point (-1, 4) becomes:

$y-y_0=m\,(x-x_0)\\y-4=2\,(x-(-1))\\y-4=2\,(x+1)$

6 0

2 years ago

One hundred students are asked a survey question as they walk through the front gate at their middle school. Is this a represent

ivann1987 [24]

Given that one hundred students are asked a survey question as they walk through the front gate at their middle school.

This a representative sample of the schools population because the sampling is random and is not biased.

7 0

3 years ago