GATE Probability and Statistics: Central limit theorem, confidence intervals and hypothesis tests – Previous Year Questions

2 GATE previous year questions on Central limit theorem, confidence intervals and hypothesis tests (Probability and Statistics, Data Science and Artificial Intelligence) with answers and explanations, from every paper.

1. GATE 2025 DA Q40 (2 marks, Multiple choice) – A random variable X is said to be distributed as Bernoulli(), denoted by X Bernoulli(), if P(X = 1) = , P(X = 0) = 1 - for 0 < < 1. Let Y = i=1300 X…
2. GATE 2026 DA Q45 (2 marks, Multiple choice) – Let L = n k=0n e-nnkk! Which of the following is the value of L?