.com/student/PlayerTest asi testid MATH 131-F, Statistics for Decision Making Fa

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.com/student/PlayerTest asi testid MATH 131-F, Statistics for Decision Making Fal 201 Quiz: Chapter 3 Review Quiz This Question: 1 pt 0 The offices of president, vice presdent sacretary, and tresa.rer for an emaromental cle wel be fed om a pool d 15candses w of the debate team (a) What is the probability that all of the offices are tiled by membors of the debale tean? (b) What is the probabiity that none of the offices are fled by manbers of the debale leam? ts (a) Pall office8 filed by d tale team mane ers)- (Round to three decimal places as noeded.) (b) Pino offices tilledl by dabate team mebers) ns (Round to three decimal places as needed J ons Sorv Enter your answer in eech of the answer bones >

Explanation / Answer

a. There are 15 candidates and 9 members are part of the debate team. Three members are to be selected. Assume, event A denote offices formed by debate team members. Thus, out of 9 membres in the debate team, 3 memebers can be selected in 9C3 ways which corresponds to the sampl epoint sof event A. Total sample points is 15C3. Thus, P(A)=# of sample points in eventA/ total sample points=9C3/15C3=84/455=0.185

b. If 3 members are not from the debate team, then they are from 15-9=6 other members. P(no offices filled by debate team members)=6C3/15C3=20/455=0.044.

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