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The probability that the annual maximum flood discharge will exceed 25000 m3/s, at least once in next 5 years is found to be 0.25. The return period of this flood event

The probability that the annual maximum flood discharge will exceed 25000 m3/s, at least once in next 5 years is found to be 0.25. The return period of this flood event

Q. The probability that the annual maximum flood discharge will exceed 25000 m3/s, at least once in next 5 years is found to be 0.25. The return period of this flood event (in years, round off to 1 decimal place) is ________________

Solution:

Probability to exceed maximum discharge at least once in next 5 years is given by
=1−(1−p)n

⇒0.25=1−(1−p)n [n=5 year]

⇒p=0.0559

⇒1/T=0.0559

⇒T=17.9 year

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