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The probability that a 50 year flood may NOT occur at all during 25 years life of a project (round off to two decimal places), is _______.
Correct answer is '0.60'. Can you explain this answer?
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Verified Answer
The probability that a 50 year flood may NOT occur at all during 25 ye...
q =1 – P = 0.98
∴ Probability of non-occurance of an event is given by,
Assurance = qn
= (0.98)25
= 0.603
Most Upvoted Answer
The probability that a 50 year flood may NOT occur at all during 25 ye...
Solution:
Given, the flood occurrence follows a Poisson distribution with a mean of 50 years.
The probability of a flood not occurring in 1 year is given by,
P(X = 0) = e^(-50) * 50^0 / 0! = e^(-50)
The probability of a flood not occurring in 25 years is given by,
P(X = 0) = e^(-50 * 25) = e^(-1250)
Therefore, the probability of a 50-year flood not occurring at all during 25 years of the project is given by,
P = e^(-1250) ≈ 0.60
Hence, the probability that a 50-year flood may not occur at all during the 25-year life of the project is 0.60.
Given, the flood occurrence follows a Poisson distribution with a mean of 50 years.
The probability of a flood not occurring in 1 year is given by,
P(X = 0) = e^(-50) * 50^0 / 0! = e^(-50)
The probability of a flood not occurring in 25 years is given by,
P(X = 0) = e^(-50 * 25) = e^(-1250)
Therefore, the probability of a 50-year flood not occurring at all during 25 years of the project is given by,
P = e^(-1250) ≈ 0.60
Hence, the probability that a 50-year flood may not occur at all during the 25-year life of the project is 0.60.
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The probability that a 50 year flood may NOT occur at all during 25 years life of a project (round off to two decimal places), is _______.Correct answer is '0.60'. Can you explain this answer?
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