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:
87.5%
Step-by-step explanation:
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Answer:
C. The line does not go through the origin.
Step-by-step explanation:
We have been given a straight line graph that doesn't pass through origin (0,0) and has y-intercept at (0,3).
Now we need to decide why that graph doesn't represent a direct variation.
We know that graph represents variation when it passes through origin. But since given graph doesn't passes through origin so it doesn't represent the direct variation.
Correct choice is :
<u>C. The line does not go through the origin.</u>
Answer:
25.6
Explanation:
t = 2 seconds
h = 8 + 40.8(2) - 16(2)^2
Solve for h by simplifying both sides of the equation, then isolating the variable.
h = 25.6
Y=-4x+3-x because if it's -y=4-3+x y is not alone so you need to make y positive and switch the rest of the operations so it can be y=-4+3-x