# probability distribution for a radio station that plays musi

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?

https://brainmass.com/statistics/probability/probability-distribution-for-a-radio-station-that-plays-musi-181346

#### 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 ...