Please explain, don\'t just solve. 2. Suppose that a company\'s website has a.12

Question

Please explain, don't just solve.

2. Suppose that a company's website has a.12 probability of crashing on any weekday, independently from day to day a) Determine the probability that the website crashes on both Monday and Tuesday of a randomly selected week. (Here and below, show your work.) b) determine the probability that the website crashes for the first time on Wednesday ofa randomly selected week. c) Determine the probability that the website crashes at least once in a randomly selected Monday Friday workweek.

Explanation / Answer

a) as probability is indepednent:

P(crashes on both monday and tuesday) =P(crashes on monday)*P(crashes on tuesday)=0.12*0.12 =0.0144

b) P(first time on wednesday) =P(not crashes on monday and tuesday and crashes on wednesday)

=(1-0.12)*(1-0.12)*0.12 =0.0929

c)

P(crshes at least one in 5 days) =1-P(do not crash at all in 5 days) =1-(0.88)5 =0.4723

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