Question: A radio station that plays classical music has a "By Request" program each Saturday night. The percentage of requests for composers on a particular night are listed below:

Composers Percentage of Requests

Bach 5

Beethoven 26

Brahms 9

Dvorak 2

Mendelssohn 3

Mozart 21

Schubert 12

Schumann 7

Tchaikovsky 14

Wagner 1

1. Does the data listed above comprise a valid probability distribution? Explain.
2. What is the probability that a randomly selected request is for one of the three B’s?
3. What is the probability that a randomly selected request is for a Mozart piece?
4. What is the probability that a randomly selected request is not for one of the two S’s?
5. Neither Bach nor Wagner wrote any symphonies. What is the probability that a randomly selected request is for a composer who wrote at least one symphony?
6. What is the probability that a randomly selected request is for a composer other than one of the three B’s or one of the two S’s?

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