Question

A process is known to be in a state of statistical control with a mean of 10 microns and a standard deviation of 2 microns. What is the probability that a single sample taken from this process will yield a value of 14 microns or larger?

Answer 1

Solution :

Given that ,

mean = = 10

standard deviation = = 2

P(x 14 ) = 1 - P(x   14)

= 1 - P((x - ) / (14 -10) /2 )

= 1 -  P(z 2)  

= 1 - 0.9772

= 0.0228

Probability = 0.0228