The mean length of pipes produced by the company is 3.6 m with a variance of

0.4 m. If the company has a specification Pipe length of 3.5 m with a tolerance of 0.3

m. Calculate:

a. Probability Pipe length less than 3.1 m

b. Probability Pipe Lengthmore than 3.8 m

c. What percentage of pipes do not meet specifications?

d. If there are 5% pipes produced with minimum length. How long is the pipe?