The following data shows the results of a survey of 100 people in the Tri-State

Question

The following data shows the results of a survey of 100 people in the Tri-State area and their political affiliation. MOCRATREPUBLICAN INDEPENDENT TOTAL EW JERSEY W YORK ONNECTICUT AL If 1 person from this group was selected, find the probability of selecting someone who was classified as: 10. New York and Democrat 11. Connecticut or Republican 12. New Jersey or Democrat 13. Republican 14. New York 15. What is the conditional probability thata Democrat is selected, given that he or she is from New York? 16. What is the conditional probability that a person from Connecticut is selected, given that he or she is a Republican?

Explanation / Answer

10.

People who are from New York and is Democrat = 19

Total People = 100

P(X) = 19C1 / 100C1

= .19

11,

People in Connecticut = 15

Republican = 50

P(x) = (15C1 + 50C1)/ 100C1

= .65

12.

Similar to above case,

P(x) = 43C1 + 42C1 / 100C1

= .85

14.

P(Republican) = 50C1/100C1

= .5

15.

P(New York) = 42C1/100C1

= .42

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