50. Explain the difference between independent events and disjoint events using

Question

50. Explain the difference between independent events and disjoint events using probabilities and simple examples. 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. 37 No College Degree63 100 Democrat Republican Total 68 132 200 31 69 100 ege Degree ota (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 havig 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?

Explanation / Answer

a) P(college degree) =68 /200 =0.34

b)P(democrat)=100 / 200 =0.5

c)P(democrat/college degree) =P(Both)/P(college degree) =0.37/0.5 =0.74

d) P(democart/ college degree) =P(Both)/P(college degree) =0.37/0.34

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