Asst1-suggested

# Asst1-suggested - Statistics 427 Homework#1 Solutions to...

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Statistics 427: Homework #1 Solutions to Suggested Problems 2.2 a. Event A = {RRR, LLL, SSS} b. Event B = { RLS, RSL, LRS, LSR, SRL, SLR } c. Event C = { RRL, RRS, RLR, RSR, LRR, SRR } d. Event D = { RRL, RRS, RLR, RSR, LRR, SRR, LLR, LLS, LRL, LSL, RLL, SLL, SSR, SSL, SRS, SLS, RSS, LSS } a. Event D contains outcomes where all cars go the same direction, or they all go different directions: D = { RRR, LLL, SSS, RLS, RSL, LRS, LSR, SRL, SLR } Because Event D totally encloses Event C, the compound event C D = D: C D = { RRL, RRS, RLR, RSR, LRR, SRR, LLR, LLS, LRL, LSL, RLL, SLL, SSR, SSL, SRS, SLS, RSS, LSS } Using similar reasoning, we see that the compound event C D = C: C D = { RRL, RRS, RLR, RSR, LRR, SRR } 2.16 a. There are six simple events, corresponding to the outcomes CDP, CPD, DCP, DPC, PCD, and PDC. The probability assigned to each is 6 1 . b. P( C ranked first) = P( {CPD, CDP} ) = 333 . 6

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## This note was uploaded on 04/07/2010 for the course STAT 427 taught by Professor Staff during the Spring '08 term at Ohio State.

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Asst1-suggested - Statistics 427 Homework#1 Solutions to...

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