ACE TEST SERIES QUESTION

Question

Comments

It follows exponential distribution with parameter 1/5. So, I guess 0.1638 is the correct answer.

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How to know it follows exponential distribution? I guess in GATE they will mention it.

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(studied from Puneet Sir PW)
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Q How to know exponential distribution Q?

Ans:

If you see closely in the question , there is a feeling of Waiting Time , like here X={waiting time for a customer call to be answered by agent}
so whenever there is a feeling of Waiting time or feeling of time in the question we use Exponential distribution, (You can check its parameter is given also so we can apply that as well)

Answer 1

$\lambda = \text{ number of calls in 1 minute} = \frac{1}{5} = 0.20$

$P(X \geq x) = e^{ - \lambda x}$

$P(X < x) = 1 - e^{ - \lambda x}$

So,

$P(X<1) = 1 - e ^{-0.2 \times 1} =  0.18126$