GATE Civil Engineering (CE) 2019 Shift 1 Solved Paper

Question : 18 of 65

Marks: +1, -0

The probability that the annual maximum flood discharge will exceed

25000 {m}^{3} {/} {s}

, at least once in next 5 years is found to be

0 .

The return period of this flood event (in years, round off to 1 decimal place) is

Solution:

Probability 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 \;\text " year "\;]

⇒ {P}=0.559

⇒ \;\; \;{1}/{T}=0.559

⇒ {T}=17.9 \;\text " year "\;

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