Question # 1 [C4, CLO2, PLO2] [2 Marks]

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/R for defective chip and =1/4R with a good chip. (where R is the last two digits of your registration number. If last two digits of your registration number are 00, use R=10)

Analyze the problem to compute the probability that a randomly purchased chip will fail before 2R months of use.

Analyze the problem to compute the probability that a randomly purchased chip will fail after 10R months of use.

Here my R=47