Answer:
Step-by-step explanation:
<u>Step 1: Distribute </u>
Answer:
<u>If needed solve for b </u>
1 answer:
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Answer:
0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
In which is the decay parameter.
The probability that x is lower or equal to a is given by:
Which has the following solution:
The probability of finding a value higher than x is:
The mean time for the component failure is 2500 hours.
This means that
What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?
The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).
0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations
The point-slope form: 
m = 3; (-1; 5)
subtitute
y - 5 = 3(x - (-1))
y - 5 = 3(x + 1)
m = 3; (-1; 5)
subtitute
y - 5 = 3(x - (-1))
y - 5 = 3(x + 1)