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........... 5%
Mozart........... 21%
Beethoven.......... 26%
Schubert........... 12%
Brahms........... 9%
Schumann........... 7%
Dvorak........... 2%
Tchaikovsky......... 14%
Mendelssohn......... 3%
Wagner............ 1%
Suppose that one of these requests is randomly selected.
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?