Orchestra Politics The board of directorsof a major symphony orchestra has voted to

Chapter 4, Problem 135

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Orchestra Politics The board of directorsof a major symphony orchestra has voted to create acommittee for the purpose of handling employeecomplaints. The committee will consist of the presidentand vice president of the symphony board andtwo orchestra representatives. The two orchestra representativeswill be randomly selected from a list ofsix volunteers, consisting of four men and twowomen.a. Find the probability distribution for x, the numberof women chosen to be orchestra representatives.b. What is the probability that both orchestra representativeswill be women?c. Find the mean and variance for the random variablex.

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