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  1. Exams
  2. GATE CE
  3. Engineering Mathematics
  4. Probability and Statistics
easy3 marks

Probability and Statistics

10 Topics
15h prep
20% subject weight
10 Topics
1

Sampling theorems

1m3/10
📌 Key FormulaNyquist-Shannon sampling theorem
2

Conditional probability

1m3/10
📌 Key FormulaP(A|B) = P(A∩B)/P(B)
3

Mean deviation

1m2/10
📌 Key FormulaMD = (1/n) Σ |x_i - mean|
4

Median deviation

1m2/10
📌 Key FormulaDeviation from median
5

Mode deviation

1m2/10
📌 Key FormulaDeviation from mode
6

Standard deviation

1m3/10
📌 Key Formulaσ = √(variance)
7

Random variables

1m3/10
📌 Key FormulaE[X], Var(X)
8

Poisson distributions

1m3/10
📌 Key FormulaP(k) = (e^{-λ} λ^k)/k!
9

Normal distributions

1m3/10
📌 Key Formulaf(x) = (1/(σ√(2π))) e^{-(x-μ)^2/(2σ^2)}
10

Linear regression

1m3/10
📌 Key Formulay = mx + c, least squares