51. The Pew Research Center finds that the demographic make-up of political parties is changing drastically through the election cycles. Consider the following summary of education levels among party lines. Democrat Republican Total College Degree No College Degree 37 31 68 63 69 132 Total 100 100 200 (a) What is the probability a randomly selected participant has a college degree? (b) What is the probability that a randomly selected participant is a democrat? (c) What is the probability that a randomly selected participant is a democrat and has a college degree? (d) Of those who have college degrees, what is the probability of being a democrat? (e) What is the probability of begin a democrat or having a college degree? (f) Are having a college degree and being a democrat disjoint events? (g) Are having a college degree and being a democrat independent events?

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51. The Pew Research Center finds that the demographic make-up of political parties is changing
drastically through the election cycles. Consider the following summary of education levels among
party lines.
Democrat Republican Total
College Degree
No College Degree
37
31
68
63
69
132
Total
100
100
200
(a) What is the probability a randomly selected participant has a college degree?
(b) What is the probability that a randomly selected participant is a democrat?
(c) What is the probability that a randomly selected participant is a democrat and has a college
degree?
(d) Of those who have college degrees, what is the probability of being a democrat?
(e) What is the probability of begin a democrat or having a college degree?
(f) Are having a college degree and being a democrat disjoint events?
(g) Are having a college degree and being a democrat independent events?
Transcribed Image Text:51. The Pew Research Center finds that the demographic make-up of political parties is changing drastically through the election cycles. Consider the following summary of education levels among party lines. Democrat Republican Total College Degree No College Degree 37 31 68 63 69 132 Total 100 100 200 (a) What is the probability a randomly selected participant has a college degree? (b) What is the probability that a randomly selected participant is a democrat? (c) What is the probability that a randomly selected participant is a democrat and has a college degree? (d) Of those who have college degrees, what is the probability of being a democrat? (e) What is the probability of begin a democrat or having a college degree? (f) Are having a college degree and being a democrat disjoint events? (g) Are having a college degree and being a democrat independent events?
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For independent event, 

P(A|B) = P(A) 

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