When a certain manufacturing process is correctly jadjusted, the
length of a machine part produced is a random
variable  with

a mean of 200 cm and a standard deviation of 0.1 cm. The
individual measurements are normally distributed.

a) What is the probability that an individual part is longer
than 200.2 cm?

b)Suppose a sample of 25 parts is chosen randomly. What s the
probability that the mean of the sample is bigger than 200.2
cm?

c)Is it correct to use the normal distribution to compute the
probability in part b? Why or why not?