1. Silicon wafers are used in the manufacture of integrated circuits. Of the wafers manufactured by a certain process, 10% have resistances below specification, and 5% have resistances above specification.
a. What is the probability that the resistance of a randomly chosen wafer does not meet the specification?
b. If a randomly chosen wafer has a resistance that does not meet the specification, what is the probability that it is too low?
2. A system contains two components, A and B. The system will function so long as either A or B functions. The probability that A functions is 0.95, the probability that B functions is 0.90, and the probability that both function is 0.88. What is the probability that the system functions?