Posted by Dee on Wednesday, March 21, 2012 at 12:36pm.
Musical styles other than rock and pop are becoming more popular. A survey of college students finds that 48% like country music, 30% like gospel music, and 10% like both. What is the conditional probability (±0.01) that a student likes gospel music, given that he or she likes country music

statistics  MathMate, Wednesday, March 21, 2012 at 4:32pm
Conditional probability of A given B is given by
P(AB)=P(A∩B)/P(B)
C=country, P(C)=0.48
G=gospel, P(G)=0.30
C∩G=both, P(C∩G)=0.10
P(gospel given country)
=P(GC)
=P(G∩C)/P(C)
=0.10/0.48
=0.21

statistics  thg, Monday, April 2, 2012 at 5:39pm
p(c)=0.48
p(g)=0.30
p(cng)=0.10
p(CuN)=0.48+0.300.10
=0.68
Answer This Question
Related Questions
 stat  Musical styles other than rock and pop are becoming more popular. A ...
 finite math  3. The campus radio station WVAS surveyed 190 students to ...
 History  PLEASE CHECK!  In the 1980s an alterative music form began ...
 Music  I have these questions on my assignment, so would you please check my ...
 music  Which genre of music was influenced by r&b, jazz, and pop? Is it the ...
 Probability  A survey finds that 38% of kids like tv, 24% like radio, and 13% ...
 SETS AND COUNTING  In a survey of 289 college students, it is found that 65 ...
 Math  A survey finds that 38% of kids like tv, 24% like radio, and 13% like ...
 Thesis help  Music lovers should look into pop, rock and r&b for a certain type...
 Music  1. How did the music business change in the early 1970s? 2. In what ways...
More Related Questions