Transforming random variables A restaurant sells three sizes of shakes. The small, medium and large sizes each cost $2.00, $3.00, and $3.50
respectively, Let X represent the restaurant's income on a randomly selected shake purchase. Based on
previous data, here's the probability distribution of X along with summary statistics:
Small
Medium
Large
2.00
3.00
3.50
X = income (8)
P(X)
0.28
0.40
0.32
Mean:
HX$2.88
Standard deviation:
Ox $0.59
During the last hour of business, the restaurant offers a special that gives customers $1 off any size shake.
Assume that the special doesn't change the probability that corresponds to each size. Let Y represent their
Income on a randomly selected shake purchase with this special pricing.
What are the mean and standard deviation of Y?
dollars
dollars
4 of 4 ..
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Choose the description that best matches each word. write the correct letter in the blank. 1. ostinato a. large, extended composition for chorus and orchestra 2. atonality b. full orchestra 3. musicology c. festive, march-like opening to a play or “semi-opera” 4. concerto d. small group of solo instruments 5. minimalism e. music contrasting a full orchestra and solo instruments 6. art song f. music played under the action to influence the mood 7. strophic form g. a vocal song focusing on artistic expression 8. incidental h. each stanza of a poem is set to the same music 9. oratorio i. repeated musical pattern that provides unity to a piece 10. dissonance j. steady beat; simple harmonies; short, repetitive melody 11. concertino k. harsh, unstable sounding of pitches; harmonic tension 12. tutti l. all 12 tones of chromatic scale, no tonal center 13. entrada m. the historical and scientific study of music