A study of high school juniors in three districts – Belvidere, Rockford, and Byron – was conducted to determine enrollment trends in AP mathematics courses – Calculus or Statistics. 42% of students in the study came from Rockford, 37% from Belvidere, and the rest from Bryon. In Rockford, 64% of the juniors took Statistics and the rest took Calculus. 58% of juniors in Belvidere and 49% of juniors in Byron took Statistics while the rest took Calculus in each district. No juniors took both Statistics and Calculus. a.Describe this situation using a tree diagram.  b.Find the probability that a randomly selected student from in the study took Statistics.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A study of high school juniors in three districts – Belvidere, Rockford, and Byron – was conducted to determine enrollment trends in AP mathematics courses – Calculus or Statistics. 42% of students in the study came from Rockford, 37% from Belvidere, and the rest from Bryon. In Rockford, 64% of the juniors took Statistics and the rest took Calculus. 58% of juniors in Belvidere and 49% of juniors in Byron took Statistics while the rest took Calculus in each district. No juniors took both Statistics and Calculus.

a.Describe this situation using a tree diagram. 

b.Find the probability that a randomly selected student from in the study took Statistics.

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