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Q15) A radio transmission tower is designed for a 50-year wind, that is, a wind velocity having a return period of 50 years

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Answer #1

a) for 50 year wind, probability of exceeding in a given year =1/50 =0.02

P(first time in 5th year )=P(does not exceed in first 4 and exceed in 5th year) =(1-0.02)^4*0.02 =0.0184

b)

P(wthin 5 year )=1-P(does not occur in first 5 year ) =1-(1-0.02)^5 =0.0961

c)

P(exactly one in first 5 year) =(5C1)*(0.02)1*(0.98)4 =0.0922

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