Question

Question 22 4 pts A podcaster who puts on a show with a focus on music conducts research on the internet to see personal tastes in music. She finds 55% of people like pop music, 35% like rock music and 20% like both pop and rock music. Determine the values for each section in the Venn Diagram below if the circle on the left represents pop music and the circle on the right represents rock music. To indicate the percentage in each section, refer to the letter in the box. А B с D

Answer 1

Percentage of people who like pop music = 55% ; P(pop) = 0.55

Percentage of people who like rock music = 35%   ; P(rock) = 0.35

Percentage of people who like rock & pop music = 20% ; P(pop & rock) = 0.20

P( only pop) = P(A) = 0.55 - 0.20 = 0.35 [35%]

P(only rock) = P(C) = 0.35 - 0.20 = 0.15 [15%]

P(pop & rock ) = P(B) = 0.20 [20%]

P(pop U rock) = 0.55 + 0.35 - 0.20 = 0.70 = 0.30 [30%]

P(D) = 1- 0.70 = 0.30

ANS:

A = 35%

B= 20%

C = 15%

D = 30%