Exercise 9. It is claimed that a community is made up of 60% Democrats, 20% Republicans, and 20% Independents. A sample of 10 community members will be taken. What is the probability that... (a) exactly 6 will be Democrats? (b) exactly 2 will be Independents? (c) at least 2 will be Independents?

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Exercise 9. It is claimed that a community is made up of 60% Democrats, 20% Republicans, and 20%
Independents. A sample of 10 community members will be taken. What is the probability that...
(a) exactly 6 will be Democrats?
(b) exactly 2 will be Independents?
(c) at least 2 will be Independents?
(d) all 10 will be Democrats?
(e) there will be no Republicans?
(f) If you observe 9 Democrats, would you reject the "60-20-20" claim? Hint: Compute the chances of
seeing at least 9 Democrats.
(g) For all the probabilities above, what big assumption did you make about the sampling process?
Transcribed Image Text:Exercise 9. It is claimed that a community is made up of 60% Democrats, 20% Republicans, and 20% Independents. A sample of 10 community members will be taken. What is the probability that... (a) exactly 6 will be Democrats? (b) exactly 2 will be Independents? (c) at least 2 will be Independents? (d) all 10 will be Democrats? (e) there will be no Republicans? (f) If you observe 9 Democrats, would you reject the "60-20-20" claim? Hint: Compute the chances of seeing at least 9 Democrats. (g) For all the probabilities above, what big assumption did you make about the sampling process?
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