TutTest5
.pdf
School
University of Cape Town**We aren't endorsed by this school
Course
STA 2004F
Subject
Statistics
Date
Dec 31, 2024
Pages
4
Uploaded by AgentFireSeal42
1Department of Statistical SciencesSTA2004FTutorial Test 5March 22, 2023Wednesday1. LetXandYbe independent standard normal variables. FindE(X|X=Y).[10]
2Department of Statistical SciencesSTA2004FTutorial Test 5March 23, 2023Thursday1. SupposeXandYare independent standard normal random variables. CalculateE(X+XY+X2|X+Y= 2).[10]
3Department of Statistical SciencesSTA2004FTutorial Test 5March 24, 2023Friday Morning1. A six-sided fair die is thrown 10 times. What is the probability that the sum of the numbersshown is equal to 20.[10]
4Department of Statistical SciencesSTA2004FTutorial Test 5March 24, 2023Friday Afternoon1. Find the joint MGF of a bivariate normal distribution.[10]