G(n)=3n+1 f(n)=4n-3 find g(n)+f(n) solve step by step

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

3 years ago

The bill from your plumber was 134. The cost of labor was 32 per hour. The cost of materials was 46. How many hours did the plum

ladessa [460]

2.75 hours.

The equation would be 32x + 46 = 134. So we subtract 46 from 134 and get 88. Now we have to divide that by 32 to get the total of 2.75 hours

4 0

3 years ago

Can someone please explain this

pickupchik [31]

Answer:

Step-by-step explanation:

Transformation #1 (blue grafic): rotation in y axis

Transformation #2 (green grafic): translation in y axis.

I hope I've helped you.

I hope you've understand me.

3 0

3 years ago

Dorian posted two online videos on the same day.

vaieri [72.5K]

Hi how do I answer hi how do I answer

7 0

3 years ago

Read 2 more answers

Aliza plays basketball every Tuesday and

Lemur [1.5K]

Answer:

4 days

Step-by-step explanation:

June starts on Monday

for 30days we have 4 weeks starting from Monday to Sunday and extra 2 days which are Monday and Tuesday

so we have 5 mondays and tuesdays

4 wed, thu, fri, sat, sun

Aliza played piano on june1 monday

So aliza played basketball on 5 tues + 4 thurs = 9 days

for calculating both basketball and paino

piano day should be on tuesday or thursday

from the below picture u can see pink dots are piano days

and yellow circles are both piano and basketball days

so on alternate weeks they are coinciding

so there are 4 days

3 0

2 years ago

G(n)=3n+1 f(n)=4n-3 find g(n)+f(n)solve step by step