Warm-up Worksheet # 1, Study notes of Algebra

Course: M339D/M389D - Financial Math for Actuaries. Page: 1 of 1. University of Texas at Austin. Warm-up Worksheet # 1. Prerequisite material.

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2022/2023

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WW: 1Course: M339D/M389D - Financial Math for Actuaries Page: 1 of 1
University of Texas at Austin
Warm-up Worksheet # 1
Prerequisite material.
Please, provide a complete solution to the following problem(s):
Problem 1.1. (10 points) Complete the following definition:
The two random variables Xand Yare said to be equal if:
Problem 1.2. (10 points) Complete the following definition:
The two random variables Xand Yare said to be identically distributed if:
Problem 1.3. (10 points) Provide an example of a pair of random variables which are identically distributed,
but not equal.
Instructor: Milica ˇ
Cudina

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WW: 1 Course: M339D/M389D - Financial Math for Actuaries Page: 1 of 1

University of Texas at Austin

Warm-up Worksheet # 1

Prerequisite material.

Please, provide a complete solution to the following problem(s):

Problem 1.1. (10 points) Complete the following definition: The two random variables X and Y are said to be equal if:

Problem 1.2. (10 points) Complete the following definition: The two random variables X and Y are said to be identically distributed if:

Problem 1.3. (10 points) Provide an example of a pair of random variables which are identically distributed, but not equal.

Instructor: Milica Cudinaˇ