Home › Previous year questions › GATE 2021 PI › Question 48GATE 2021 PI – Question 48 Engineering Mathematics · Probability and Statistics · 2 marks · Numerical answer
Airport security-screening time is exponential with mean 15 min. A passenger must clear within 15 min to catch a flight. Find probability of missing the flight to three decimals.
Practise this question in The GATE Grind →
Show answer and explanation Correct answer: 0.365 to 0.370
Explanation Missing means T > 15. Exponential survival is $P(T>t)=e^{-t/15}$. At t = 15 the probability is e⁻¹ = 0.367879, rounding to **0.368**.
More Probability and Statistics questions GATE 2026 PI Q28 – Which ONE OR MORE values can be a correlation coefficient? GATE 2026 PI Q31 – A box contains five coated and ten otherwise identical uncoated cutting inserts, randomly… GATE 2026 PI Q61 – Soldering-defect count per semiconductor device is Poisson with p(x)=e-x/x! and mean… GATE 2025 PI Q15 – A bag has five red, seven green and three blue balls. Two balls are drawn randomly one… GATE 2025 PI Q58 – Marketing expenditure x and annual profit y over three years are (3,22),(4,27),(6,36), in… GATE 2024 PI Q31 – A continuous variable has density f(x) = K/4 on 0 ≤ x ≤ 1, and zero otherwise. Find K… All Probability and Statistics questions →