ps01 - Statistics 403 Problem Set 1 Due in lab on Friday,...

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

View Full Document Right Arrow Icon
Statistics 403 Problem Set 1 Due in lab on Friday, September 17th 1. Suppose we have the following probability distribution: x P ( X = x ) 1 0.19 2 0.09 3 0.07 4 0.15 5 0.21 6 0.03 7 0.01 8 0.03 9 0.12 10 0.10 (a) What is the probability that X is odd? Solution: The probability that X is odd is 0 . 19 + 0 . 07 + 0 . 21 + 0 . 01 + 0 . 12 = 0 . 6 . (b) What is the probability that X is evenly divisible by 3? Solution: X is evenly divisible by 3 only if X equals 3, 6, or 9. Thus the probability is 0 . 07 + 0 . 03 + 0 . 12 = 0 . 22 . (c) Are these two events independent? Why or why not? Solution: If the events are independent, the probabilities must satisfy the mul- tiplication rule. The value of X is both odd and evenly divisible by 3 only if X equals 3 or 9. This probability is 0 . 07+0 . 12 = 0 . 19, which is substantially greater than the product 0 . 6 × 0 . 22 (where 0 . 22 is the probability that X is divisible by 3). Thus these two events are not independent (they are positively dependent).
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 02/06/2012 for the course STAT 403 taught by Professor Kerbyshedden during the Winter '12 term at University of Michigan-Dearborn.

Page1 / 3

ps01 - Statistics 403 Problem Set 1 Due in lab on Friday,...

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