The length of time needed to complete a certain test is normally distributed with mean 23 minutes and standard deviation 11 minutes. Find the probability that it will take more than 20 minutes to complete the test.
Solution :
Given that ,
mean = = 23
standard deviation = = 11
P(x > 20) = 1 - p( x< 20 )
=1- p P[(x - ) / < (20 - 23) / 11 ]
=1- P(z < - 0.27)
Using z table,
= 1 - 0.3936
= 0.6064
The length of time needed to complete a certain test is normally distributed with mean 23...
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