a) On average, how many days after the operating system is installed do you expect the first computer crash? b) What is the probability that the computer crashes for the first time on the fourteenth day after the operating system is installed? c) What is the probability that on the 30th day the computer crashes for the second time? d) What is the probability that at least one crash happens in at least 2 of the next 4 months (assuming that each month is 30 days in duration)?

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After installation of a certain operating system, the probability that the computer crashes on any

given day is 0.05. Assume that the computer crashes occur independently and with constant

probability.

a) On average, how many days after the operating system is installed do you expect the first

computer crash?

b) What is the probability that the computer crashes for the first time on the fourteenth day

after the operating system is installed?

c) What is the probability that on the 30th day the computer crashes for the second time?

d) What is the probability that at least one crash happens in at least 2 of the next 4 months

(assuming that each month is 30 days in duration)?

Expert Solution
Step 1

Here use binomial theorem 

P = 0.05

q = 1- 0.05 = 0.95

 

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