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Statistics I207610 marksContinuous distribution

a. Define Normal distribution. What are the main characteristics of a Normal distribution? b. What do you mean by probability density function? Write down its properties.

a. Define Normal distribution. What are the main characteristics of a Normal distribution? b. What do you mean by probability density function? Write down its properties.[10]

--- A Normal Distribution is a continuous probability distribution of a random variable X with parameters μ (mean) and σ² (variance). Its probability density function is given by: $$f(x) = \frac{1}{\sigma\sqrt{2\pi}} \cdot e^{-\frac{1}{2}\left(\frac{x-\mu}{\sigma}\right)^2}, \quad -\infty < x < +...

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