A survey was conducted at a local ballroom dance studio asking students if they had ever competed in the following dance categories:- Smooth- Rhythm- StandardThe results were then presented to the owner in the following Venn Diagram. If a student is chosen at random, what is the probability that:Write your answers in percent form. Round to the nearest tenth of a percent.a) The student has competed in none of the categories ?%b) The student has competed in all three of these categories ?%c) The student has competed in Smooth or Standard, but not Rhythm ?%d) The student has competed in Rhythm and Standard, but not Smooth ?%e) The student has competed in Rhythm. ?% A survey was conducted at a local ballroom dance studio asking students if they had ever competed in thefollowing dance categories:- Smooth- Rhythm- StandardThe results were then presented to the owner in the following Venn Diagram.SmoothRhythm1213Standard1411If a student is chosen at random, what is the probability that:Write your answers in percent form. Round to the nearest tenth of a percent.a) The student has competed in none of the categories?%b) The student has competed in all three of these categories?%c) The student has competed in Smooth or Standard, but not Rhythm?d) The student has competed in Rhythm and Standard, but not Smooth?e) The student has competed in Rhythm.

a) The Venn diagram for different dance categories is given.

Answered: A survey was conducted at a local…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 48E

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A survey was conducted at a local ballroom dance studio asking students if they had ever competed in the following dance categories:
- Smooth
- Rhythm
- Standard

The results were then presented to the owner in the following Venn Diagram.

If a student is chosen at random, what is the probability that:

Write your answers in percent form. Round to the nearest tenth of a percent.

a) The student has competed in none of the categories ?%
b) The student has competed in all three of these categories ?%
c) The student has competed in Smooth or Standard, but not Rhythm ?%
d) The student has competed in Rhythm and Standard, but not Smooth ?%
e) The student has competed in Rhythm. ?%