Wires manufactured for use in a computer system are specified to hve resistances between .12 and .14 ohms. The actual measured resistances of the wires produced by company A have a normal probability distribution with mean .11 ohm and standard deviation .005 ohm.
a) what resistance must have a wire produce by company A to be in top 2.5% of its distribution?
b) what is the probability that a randomly selected wire from company A's production will meet the specification?
c) if 100 such wires are used in the system and all are selected from company A, what is the probability that at least 92 will meet the specification?