This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Mathematics 7 Template for Exam 2 May 6, 2008 No calculators No scratch paper! 1. Let X be a random variable whose distribution is Bin ( n;p ) . ( i ) What is the range of X ? ( ii ) Find the density of X . ( iii ) Compute P ([ X & k ]) . ( iv ) Compute P ([ a & X & b ]) . (Leave your answers as reduced fractions.) 2. If Z is a random variable whose distribution is Bin ( n;p ) , and if P ([ Z & t ]) = & , compute P ([ Z t + 1]) . 3. An urn contains N tags numbered from 1 to N . Let Y denote the sum of the numbers of n of them selected at random. ( i ) What is the smallest number in range ( Y ) ? ( ii ) What is the largest number in range ( Y ) ? 4. A child is with her father at a supermarket in front of t di/erent candy bar dispensers, each with k candy bars in it, each candy bar selling for a quarter. The child&s father gives her m quarters. In how many ways can she select m di/erent candy bars? 5. John tosses a fair die twice. (Note that there are 36 equally likely outcomes). ( i ) If Z denotes the sum of the two numbers obtained in the two tosses, compute P ([ Z = k ]) ( ii ) Find the probability that Z takes a value in this set: f a 1 ; ;a r g ....
View Full
Document
 Spring '08
 TUCKER
 Math, Statistics

Click to edit the document details