The dimension of a machined part has a nominal specification of 11.9 cm. The process that produces the part can be controlled to have a mean value equal to this specification, but has a standard deviation of 0.05 cm. What is the probability that a part will have a dimension:
a) exceeding 12 cm?
b) between 11.9 and 11.95 cm?
c) less than 11.83 cm?