Distributionexampleswith it's important s.pptx

Distribution examples with definition and formula

1. Normal Distribution Yatri Patel 240410107133 Yug Patel 240410107134 (Computer Department)

2. Normal Distribution ( Gaussion Distribution) A continuous random variable X is said to follow normal distribution with mean μ and variance σ² ,if probability function is given by Where μ and σ are called parameters of the normal distribution.

3. Normal Distribution ( Gaussion Distribution) The curve representing the normal distribution is called the normal curve (Bell curve).

4. Normal Distribution ( Gaussion Distribution) Mean of the normal Distribution: E(X)= μ Variance of Normal Distribution: Var(X) = E(X- μ ) ² = σ² Standard Deviation of the Normal Distribution: SD = σ

5. Normal Distribution ( Gaussion Distribution) Example:

6. Normal Distribution ( Gaussion Distribution) Example:

7. Application Of Normal Distribution: Natural & Biological Data – Heights, weights, IQ, test scores. Finance & Economics – Stock returns, risk analysis. Quality Control – Detecting defects in manufacturing. Education & Psychology – Standardized test scores, grading. Error Measurement – Experimental and instrument errors. Medical & Social Sciences – Blood pressure, cholesterol, patient data. Statistics (CLT) – Basis for hypothesis testing & confidence intervals.