Does data listed above comprise valid probability

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Reference no: EM13473277

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?

Reference no: EM13473277

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