Sample questions
You've seen the pattern — here are a few of the actual PYQs.
ESE2024
The standard deviation of the exponential distribution of f_X(x) = { λe^(−λx), x ≥ 0; 0, x < 0 } is
- A 1/λ
- B 2/λ² ✓
- C 3/λ³
- D 2/λ³
✓ Correct answer: (B)
Engineering › Engineering Mathematics & General
ESE2024
Let the random variables X and Y have joint density function given by f_{X,Y}(x, y) = { c(1−y), 0 ≤ x ≤ y ≤ 1; 0, otherwise }. Then the marginal density function for X is
- A f_X(x) = 6(1/2 − x − x²/2) for 0 ≤ x ≤ 1
- B f_X(x) = 6(1/2 + x + x²/2) for 0 ≤ x ≤ 1
- C f_X(x) = 6(1/2 + x − x²/2) for 0 ≤ x ≤ 1
- D f_X(x) = 6(1/2 − x + x²/2) for 0 ≤ x ≤ 1 ✓
✓ Correct answer: (D)
Engineering › Engineering Mathematics & General
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