please show the derivation of the distributions step by step Suppose that X₁,..., X, are independent and identically distributed randomvariables from a standard normal distribution. Obtain the value of d sothat the random variablehas a t distribution.d(X₁ + X₂ + X₂)(X₂² + X₂² + X² + X₂²)¹/²

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has at distribution. 2 d(X₁ + X₂ + X₂) (X₂² + X₂² + X² + X₂²) ¹/²

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

please show the derivation of the distributions step by step

Suppose that X₁,..., X, are independent and identically distributed random
variables from a standard normal distribution. Obtain the value of d so
that the random variable
has a t distribution.
d(X₁ + X₂ + X₂)
(X₂² + X₂² + X² + X₂²)¹/²

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