Consider the case where thread T1 interrupts thread T2, and we are experimentally verifying the system operates without critical sections. Let n be the number of times T1 interrupts T2. Let m be the total number of interruptible locations within T2. Assume the time during which T1 triggers is random with respect to the place (between which two instructions of T2) it gets interrupted. In other words, there are m equally-likely places within T2 for the T1 interrupt to occur. What is the probability after n interrupts that a particular place in T2 was never selected?

The answer is 0.406

Step-by-step explanation:

Exercise 2.95: In a certain region of the country it is known from past experience that theprobability of selecting an adult over 40 years of age with cancer is 0.05.  If the probability of a doctor correctly diagnosing a person with cancer as having the disease is 0.78 and theprobability of incorrectly diagnosing a person without cancer as having the disease is 0.06,what is the probability that an adult over 40 years of age is diagnosed as having cancer?

This time we want to calculate P(C | D). To do this, we use Bayes rule: