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Sajjad1994
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Why is the total 97?

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The total number of musicians, not counting soloists, whom the SSO must contract for the entire spring season is 97. => Yes

Take the highest number in each instrument column
  • Woodwinds: 16
  • Brass: 16
  • Percussion: 3
  • Strings: 62
=> Total is 97

The average number of strings required by the compositions in the program for Performance C is smaller than the average number of strings required by the compositions in the program of either of the other two performances. => Yes

Sort by Performance
  • there are 3 compositions in each Performance
  • the total number of strings required in each Performance
    • C: 54 + 21 + 31 = 106
    • A: 51 + 21 + 45 = 117
    • B: 62 + 51 + 21 = 134
=> The total number of strings for C is smaller than that of either A and B
All performances have the same number of compositions
=> The avg number of strings for C is smaller than the avg of A and B

If a composition requires 8 woodwinds, the probability that it was not composed by Sanford, M. is 33%. => No

Sort by Woodwinds, there are 3 compositions requiring 8 woodwinds, 2 of which are not composed by Sanford M
=> Probability is 66.67%
 
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I found the wording of the prompt with regards to the musicians bit confusing, based on answer of St1 seems like we are meant to understand that there will be one set of musicians who will play all compositions of all performances rather than having separate musicians for each composition, based on my understanding st1 was NO but after reading the correct solution I figured that I had misunderstood. Perhaps the last sentence of prompt was meant to be a hint " Each musician will be contracted for the entire spring season, even though he or she may not need to play on all compositions."
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