Question # 1

In the manufacturing of computer memory chips, a company produces one defective chip for every nine good chips. Let X be time to failure (in months) of chips. It is known that X is an exponential random variable with parameter =1/47 for defective chip and =1/188 with a good chip.

1) Analyze the problem to compute the probability that a randomly purchased chip will fail before 94 months of use.

2) Analyze the problem to compute the probability that a randomly purchased chip will fail after 470 months of use.