A random variable X has probability density function given by for a. Demonstrate that g X

Question:

A random variable X has probability density function given by gx(x) = 1 1 2/2m &p ( ;(;)') exp 22 2 2

for −∞

a. Demonstrate that g_X(x) is a valid probability density function.

b. Calculate P(1.5

c. Determine a transformation that takes X to a Standard normal distribution and use statistical tables to verify your answer to part b.

You are given that Φ(1.75) = 0.95994 and Φ(0.25) = 0.59871.

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Introduction To Actuarial And Financial Mathematical Methods

ISBN: 9780128001561

1st Edition

Authors: Stephen Garrett

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Question Posted: Dec 11, 2023 07:00 AM

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A random variable X has probability density function given by for a. Demonstrate that g X

Question:

gx(x) = 1 1 2/2m &p ( ;(;)') exp 22п 2 2

Step by Step Answer:

a It is clear from the properties of exponential functions that gx x 0 for all x This can be confirm...View the full answer

Introduction To Actuarial And Financial Mathematical Methods

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