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I am Lyosha [343]
3 years ago
6

Decimals between 9.4 to 10.5 with an interval of 0.1 between each pair of decimals

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
8 0
<span>Decimals between 9.4 to 10.5 with an interval of 0.1 between each pair of decimals are {9.5, 9.6, 9.7, 9.8, 9.9, 10.0, 10.1, 10.2, 10.3, 10.4}</span>
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Answer:

36.58% probability that one of the devices fail

Step-by-step explanation:

For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. So we use the binomial probability distribution 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.

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And p is the probability of X happening.

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This means that n = 15

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This means that p = 0.05

What is the probability that one of the devices fail?

This is P(X = 1)

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