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: 
Step-by-step explanation:
Given
The cylinder is 20 cm high
The radius of the cylinder is 
The total area of the figure is the sum of the rectangle and two circles
![\Rightarrow \text{Perimeter P=}2[h+2r]\\\Rightarrow P=2[20+6]\\\Rightarrow P=52\ cm](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ctext%7BPerimeter%20P%3D%7D2%5Bh%2B2r%5D%5C%5C%5CRightarrow%20P%3D2%5B20%2B6%5D%5C%5C%5CRightarrow%20P%3D52%5C%20cm)
The total area of the figure is

Answer:
x=-2
Step-by-step explanation:
Let m=x

Expand the parentheses:

<em>Hope this helped! If you have any more questions regarding the explanation, please comment below, have a good day!</em>
Answer:
3/1000 chance
Step-by-step explanation: