(8 pts) A social psychologist believes that women, in general, are less likely t
ID: 3291317 • Letter: #
Question
(8 pts) A social psychologist believes that women, in general, are less likely to enjoy rock music. The psychologist recruits 100 participants (50 males and 50 females) to go to a concert. They are told that they are free to leave whenever they want. He records the sex of a total of 10 people who end up leaving the concert, as follows:
[M F F F F F F F F F]
What is the probability that out of the 10 people who are displeased with the concert, 9 of them are women?
What does this say about the psychologist’s belief that women are less likely to enjoy this particular rock concert?
(8 pts) A social psychologist believes that women, in general, are less likely to enjoy rock music. The psychologist recruits 100 participants (50 males and 50 females) to go to a concert. They are told that they are free to leave whenever they want. He records the sex of a total of 10 people who end up leaving the concert, as follows:
[M F F F F F F F F F]
What is the probability that out of the 10 people who are displeased with the concert, 9 of them are women?
What does this say about the psychologist’s belief that women are less likely to enjoy this particular rock concert?
Explanation / Answer
Let X be the number of women who are displeased with the concert out of 10. X ~ Bin (10, p), where p = 9 / 10 = 0.9 (we estimate p from the given sample i.e. 9 out of 10 persons who left are women).
Then required probability, P(X = 9) = 0.3874. (Ans).
Probability that women will live the concert earlier is much higher than men leaving the concert. Hence, the psychologist’s belief that women are less likely to enjoy this particular rock concert is realistic.
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