Question

(1 point)

A firm has classified its customers in two ways: according to whether the account is overdue and whether the account is new (less than 12 months) or old. An analysis of the firm's records provided the input for the following table of joint probabilities:

	Overdue	Not overdue
New	0.03	0.11
Old	0.5	0.36

One account is selected at random.

A. If the account is overdue, what is the probability that it is new?

B. If the account is new, what is the probability that it is overdue?

(1 point) In a survey of 228 people, the following data were obtained relating gender to political orientation:

	Republican (R)	Democrat (D)	Independent (I)	Total
Male (M)	79	23	37	139
Femal (F)	41	32	16	89
Total	120	55	53	228

A person is randomly selected. What is the probability that the person is:
a) Male?

b) Male and a Democrat?

c) Male given that the person is a Democrat?

d) Republican given that the person is Male?

e) Female given that the person is an Independent?

f) Are the events Male and Republican independent?

Enter yes or no .

Answer 1

(A) P(new /overdue) - 0.03 0566 0.53 (B) Plover due (new) - 0.03 0.03 0.14 - 10.2143 10. 2143 23 Demo 228 55 (a) PC Hale) = ( 13 9 (6) Plomale and Democoat) : ( 23 | C) P(made / Democrat) = (231 (d) PC Republi.cn/onale) = 1 + 2 ce p (female / Independent) = ( 16 ) (f) PCMale and Republican) & P(male) PC Republic) 139 79 228 x 120 228 228 So not Independent Answer : No