SOLUTION: The time it takes to assemble an electronic component is normally distributed with a mean of 17.2 minutes and a standard deviation of 3.1 minutes. The probability is 95.05% that it
Algebra.Com
Question 1142850: The time it takes to assemble an electronic component is normally distributed with a mean of 17.2 minutes and a standard deviation of 3.1 minutes. The probability is 95.05% that it will take at least how long to assemble a component?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
1 - 0.9505 = 0.0495
:
according to the table of z-values
:
0.0495 probability is associated with a z-value of -1.65
:
we know that
:
(X - 17.2)/3.1 = -1.65
:
X - 17.2 = 1.65 * 3.1 = -5.115
:
X = -5.115 + 17.2 = 12.085 is approximately 12.1
:
*****************************************************************************
The probability is 95.05% that it will take at least 12.1 minutes to assemble a component
*****************************************************************************
:
RELATED QUESTIONS
The time it takes to assemble an electronic component is normally distributed with a mean (answered by Boreal)
The time required to assemble an electronic device is normally distributed
with a mean... (answered by ikleyn)
The amount of time required to assemble a component on a factory assembly line is... (answered by Boreal)
It takes an avarege of 70 minutes with standard deviation of 10 minutes to assemble a... (answered by Jc0110)
To estimate the average time it takes to assemble a certain
computer component the... (answered by Boreal)
To estimate the average time it takes to assemble a certain computer component the... (answered by Boreal)
Zodwa,the operations manager of a large production plant would like to estimate the mean... (answered by Boreal)
It takes on average, 70 minutes with a standard deviation of 10 minutes to assemble a... (answered by ikleyn)
To estimate the average time it takes to assemble a certain computer... (answered by ikleyn)