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    probability distribution for a radio station that plays musi

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    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

    a. Does the data listed above comprise a valid probability distribution? Explain.
    b. What is the probability that a randomly selected request is for one of the three B's?
    c. What is the probability that a randomly selected request is for a Mozart piece?
    d. What is the probability that a randomly selected request is not for one of the two S's?
    e. 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?
    f. 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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    Solution Preview

    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 ...

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