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Umnica [9.8K]
3 years ago
5

The time T that technician requires to perform preventive maintenance on an air conditioning unit has an unknown probability dis

tribution. However, its mean is known to be 2 hours, with standard deviation 1 hour. Suppose the company maintains 70 of these units and that the conditions of the Central Limit Theorem apply. What is the probability that a maintenance operation will take more than 2 hours and 15 minutes?
Mathematics
1 answer:
fiasKO [112]3 years ago
6 0

Answer:

0.4

Step-by-step explanation:

To calculate the probability that a maintenance operation will take more than 2 hours and 15 minutes. We can first calculate the probability that ALL maintenance operation on 70 of the units will take less than 2 hours and 15 minutes, then subtract it from 1.

So the probability of a maintenance operation that would take less than 2 hours and 15 minutes, or 135 minutes is:

P(X \leq 135, \mu = 120, \sigma = 60) = 0.6

So the probability that a maintenance operation will take more than 2 hours and 15 minutes is:

1 - 0.6 = 0.4

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In a race, Brian Collins has to cross 10 hurdles. The probability that he clears a hurdle is 2/3. Find P(clears all hurdles).
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Step-by-step explanation:

P( clear hurdle) = 2/3

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P ( clear all hurdles) = P( clear hurdle) * P( clear hurdle)...... 10 times

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