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
Answer:
A. 18 sit-ups in one minute
B. 30 doors per hour
D. 18 words per minute
F. $30 per night
C. 3.5 miles per hour
E. $10.50 per pair of pants
Step-by-step explanation:
A. 36/2 = 18
B. 15 * 2 = 30
D. 72/4 = 18
F. 150/5 = 30
C. 10.5/3 = 3.5
E. 31.50/3 = 10.50
Answer:
Independent: Amount of hours she works
Dependent: Amount of money she makes
Step-by-step explanation:
The independent variable is the part of the equation that changes. In this case the only thing that changes is how long she works, the amount of money she charges and what she is doing does not change.
The dependent variable is what you measure in the equation. In this case, the amount of money she makes <em>depends</em><em> </em><em>on</em> the amount of time she works.
Hey! I'll provide you the answers!
First you want to simplify the equation using cross-multiplication.

Finally, you would want to divide both sides by 15.
n = 161