100AHW1[1] -...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
\documentclass[11pt]{article} \input{psfig.sty} \usepackage{epsfig} \ \renewcommand{\baselinestretch}{1.1} %\setcounter{page}{0} \thispagestyle{empty} % \setlength{\topmargin}{-0.60in} \setlength{\oddsidemargin}{-0.2in} \setlength{\textwidth}{6.5in} \setlength{\textheight}{9in} \ \def\E{{\rm E}} \def\Var{{\rm Var}} \def\Cov{{\rm Cov}} \ \begin{document} \begin{center} {\huge STAT 100A HWI Due next Wed in class} \end{center} \ \noindent{\bf Problem 1:} Suppose we flip a fair coin 4 times independently. \ (1) What is the sample space? ( (2) What is the set that corresponds to the event that the number of heads is 2? What is its probability? W (3) Let $Z_i = 1$ if the $i$-th flip is head, and $Z_i = 0$ otherwise, for $i = 1, 2, 3, 4$. Let $X$ be the number of heads. Express $X$ in terms of $Z_i$. 2 (4) What is the probability distribution of $X$? That is, what is $\Pr(X=k)$ for $k = 0, 1, 2, 3, 4$? = \noindent{\bf Problem 2:} Suppose we roll a fair die twice independently. Let $X$ and $Y$ be the two numbers we get. a
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/29/2010 for the course STATS 100A 262303210 taught by Professor Wu during the Fall '09 term at UCLA.

Page1 / 2

100AHW1[1] -...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online