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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Define Standard normal variate - Business Mathematics and Statistics

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Question

Define Standard normal variate

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Solution

A random variable Z = `("X"  –  mu)/sigma` follows the standard normal distribution.

Z is called the standard normal variate with mean 0 and standard deviation 1 i.e Z – N (0, 1).

Its Probability density function is given by:

φ(z) = `1/sqrt(2pi) "e"^((-x^2)/2) -oo < "z" < oo`

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Chapter 7: Probability Distributions - Exercise 7.3 [Page 168]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 7 Probability Distributions
Exercise 7.3 | Q 2 | Page 168

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