0 votes 0 votes Probability exponential-distribution + – Shankar Kakde asked Nov 1, 2018 retagged Nov 1, 2018 by Mk Utkarsh Shankar Kakde 375 views answer comment Share Follow See all 2 Comments See all 2 2 Comments reply Utkarsh Joshi commented Nov 1, 2018 reply Follow Share It follows exponential distribution with parameter 1/5. So, I guess 0.1638 is the correct answer. 0 votes 0 votes smsubham commented Jun 3, 2020 reply Follow Share How to know it follows exponential distribution? I guess in GATE they will mention it. 0 votes 0 votes Please log in or register to add a comment.
2 votes 2 votes $\lambda = \text{ number of calls in 1 minute} = \frac{1}{5} = 0.20$ $P(X \geq x) = e^{ - \lambda x}$ $P(X < x) = 1 - e^{ - \lambda x}$ So, $P(X<1) = 1 - e ^{-0.2 \times 1} = 0.18126$ Mk Utkarsh answered Nov 1, 2018 Mk Utkarsh comment Share Follow See all 0 reply Please log in or register to add a comment.