Question 4.27

4.27 A stratified sample. A club has 30 student members and 10 faculty members. The students are

  • Aguirre

  • Butterfield

  • Caporuscio

  • Carlson

  • Chilson

  • Clement

  • Cooper

  • Dobbs

  • Freeman

  • Girard

  • Gonzales

  • Grebe

  • Kemp

  • Kessler

  • Koepnick

  • Macha

  • Makis

  • Palacios

  • Peralta

  • Risser

  • Rodriguez

  • Ryndak

  • Soria

  • Spiel

  • Stankiewicz

  • Steele

  • Tong

  • White

  • Williams

  • Zhang

The faculty members are

  • Atchade

  • Craigmile

  • Everson

  • Fink

  • Hansen

  • Murphy

  • Nair

  • Nguyen

  • Romero

  • Turkmen

The club can send three students and two faculty members to a convention. It decides to choose those who will go by random selection.

  1. (a) Use the Simple Random Sample applet, other technology, or Table A to choose a stratified random sample of three students and two faculty members.

  2. (b) What is the chance that the student named White is chosen? What is the chance that faculty member Romero is chosen?