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A string quartet consists of two violinists, a violist, and a cellist. A survey of 100...

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Basic Math

A string quartet consists of two violinists, a violist, and acellist. A survey of 100 string quartets (400 musicians) reportedthat 98 cellists had no violin experience and 74 violists hadviolin experience.
1. What is the probability of selecting a musician who plays or hadplayed the violin?
2. Conditional on selecting a non-cellist, what is the probabilityof selecting someone who neither plays nor played the violin?
3. Suppose you want to study the monetary implications of switchinginstruments. What is the minimum probability of selecting a quartetin which at least one player has switched? State, make, and useminimal assumptions as needed.

Answer & Explanation Solved by verified expert
4.0 Ratings (513 Votes)
Out of 400 musiciansViolinist 200Violist 100Cellists 100ViolinExperienceNoViolin ExperienceTotalViolist7416100Cellist2981001 Number of musicians who have play or have played violin 200 74 2 276Pselecting a musician who plays or has playedviolin 276 400 069Pselecting a musician who plays    See Answer
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