A radio station that plays classical music has a \"by request\" program each Sat
ID: 3330233 • Letter: A
Question
A radio station that plays classical music has a "by request" program each Saturday evening. The percentages of requests for composers on a particular night are as follows. Bach Beethoven Brahms Dvorak Mendelssohn Mozart Schubet Schumann Tchaikovsky Wagner 12% 19% 4% 7% 14% 10% 9% 10% 1% 14% Suppose that one of these requests is to be selected at random (a) What is the probability that the request is for one of the three B's? (b) What is the probability that the request is not for one of the two S's? (c) Neither Bach nor Wagner wrote any symphonies. What is the probability that the request is for a composer who wrote at least one symphony?Explanation / Answer
a) P(One of the three B's) = 0.12 + 0.19 + 0.04 = 0.35
b) P(Not one of the two S's) = 1 - P(One of the two S's) = 1 - (0.09 + 0.10) = 0.81
c) P(At least one symphony) = 1 - P(No symphony) = 1 - (0.12 + 0.14) = 1 - 0.26 = 0.74