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Jobisdone [24]
3 years ago
5

A computer program has a bug that causes it to fail once in every thousand runs, on average. In an effort to find the bug, indep

endent runs of the program will be made until the program has failed six times. What is the standard deviation of the number of runs required?
Mathematics
1 answer:
Serhud [2]3 years ago
8 0

Answer:

The standard deviation of the number of runs required is 2447.26

Step-by-step explanation:

For each run, there are only two possible outcomes. Either the program fails, or it does not. The probability of the computer failing during a run is independent of other runs. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The standard deviation for the expected number of trials for r sucesses is:

\sqrt{V(X)} = \sqrt{\frac{r(1-p)}{p^{2}}}

A computer program has a bug that causes it to fail once in every thousand runs, on average.

This means that p = \frac{1}{1000} = 0.001

In an effort to find the bug, independent runs of the program will be made until the program has failed six times. What is the standard deviation of the number of runs required?

This means that r = 6. So

\sqrt{V(X)} = \sqrt{\frac{6*0.999}{(0.001)^{2}}} = 2447.26

The standard deviation of the number of runs required is 2447.26

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Answer:

Is important to remember that the reflection of the point (a,b) across  the y-axis is the point (-a,b).

Our original equation is y= (x+2)^2

And after the reflection respect x we got:

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Step-by-step explanation:

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Our original equation is y= (x+2)^2

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Step-by-step explanation:

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Leya [2.2K]
The answer is 10 because 9x5=45 then you do 45-15=30 then you divide by 3 which is 10.
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A triangle has angles in the ratio 3:10:2 what is the size of the largest angle x?
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B

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3. 112.2 yd

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Step-by-step explanation:

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