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andrew-mc [135]
3 years ago
10

In a "torture test" a light switch is turned on and off until it fails. if the probability that the switch will fail any time it

is turned on or off is 0.001, what is the probability that the switch will fail after it has been turned on or off 1,200 times?
Mathematics
1 answer:
Alex777 [14]3 years ago
6 0
The probability that the switch does not fail is 1-0.001=0.999. In order to switch the lights off and on 1200 times, we need to press the switch 2400 times. Each event is assumed independent from the others; when we press the switch, its probability that it will fail is not influenced by the previous pressing of the switch. Thus, the probability that it won't fail after 2 times is 0.999*0.999=0.999^2. Similarly, we get that the required probability is : P=0.999^{2400}=0.091
This is a relatively low probability. We see that even if the probability that the switch fails one time is very low, after many repetitions it becomes quite probable that the switch will fail at least one time.
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Answer:

I think 7

Step-by-step explanation:

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7 has no factor.

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Nimfa-mama [501]

Let's call our number <em>x</em>.

So we can setup the equation x² = 100.

To solve this equation, we square root both sides.

So we have x = ±10.

Always use plus or minus when square rooting both sides

of an equation so our answer is not only 10, it's also -10.

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3 years ago
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galben [10]

Answer: B. 10

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-10 is the total number of all possible combinations for choosing 3 elements at a time from 5 distinct elements without considering the order of elements in statistics & probability surveys or experiments. The number of combinations for sample space 5 CHOOSE 3 can also be written as 5C3 in the format of nCr or nCk.

Step-by-step explanation: Hope this help :D

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sveta [45]

Answer: ratio of her SAVINGS to her EXPENDITURE=1:7

Step-by-step explanation:

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