In: Statistics and Probability
There is a process of laminating the gum at 0.08 inches and with a deviation of .01. What is the probability that a rubber flake will come out with more than 0.09 if you take a sample 5 flakes?
Solution :
Given that,
mean = 
 = 0.08
standard deviation = 
 = 0.01
n=5

= 
=0.08

= 
 / 
n = 0.01 / 
5 = 0.004
P(
 > 0.09) = 1 - P(
< 0.09)
= 1 - P[(
- 
) / 
< (0.09-0.08) / 0.004]
= 1 - P(z < 2.5)
Using z table
= 1 - 0.9938
probability= 0.0062