Concept explainers
a.
To find: the probability distribution for
a.
Explanation of Solution
Given:
The board of directors of a major symphony orchestra has voted to create a committee for the purpose of handing employee complaints.
The committee consists of the president and the vice president of the symphony board and two orchestra representatives.
Calculation:
According to the question,
Let
Let
Therefore, the simple
Let
Associated simple events | ||
b.
To find: the probability that both the orchestra representatives will be women.
b.
Answer to Problem 4.135SE
Explanation of Solution
Given:
The board of directors of a major symphony orchestra has voted to create a committee for the purpose of handing employee complaints.
The committee consists of the president and the vice president of the symphony board and two orchestra representatives.
Calculation:
According to the solution of part a,
The total number of events is 15 and the
Therefore, the probability that both the orchestra representatives will be women is:
c.
To find: the mean and variance for the random variable
c.
Answer to Problem 4.135SE
Explanation of Solution
Given:
The board of directors of a major symphony orchestra has voted to create a committee for the purpose of handing employee complaints.
The committee consists of the president and the vice president of the symphony board and two orchestra representatives.
Calculation:
According to solution table in part a,
Therefore, the mean and variance for the random variable
If
Hence, the mean and variance for the random variable
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Chapter 4 Solutions
Introduction to Probability and Statistics
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