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A municipal bond service has three rating categories​ (A, B, and​ C). Suppose that in the...

A municipal bond service has three rating categories​ (A, B, and​ C). Suppose that in the past​ year, of the municipal bonds issued thoughout a​ country,

60% were rated​ A, 10%were rated​ B, and 30%were rated C. Of the municipal bonds rated​ A,30 % were issued by​ cities,

50 % by​ suburbs, and 20% by rural areas. Of the municipal bonds rated​ B, 60%were issued by​ cities, 30%by​ suburbs, and 10%

by rural areas. Of the municipal bonds rated​ C, 80% were issued by​ cities,5% by​ suburbs, and 15%by rural areas. Complete​ (a) through​ (c) below.

a. If a new municipal bond is to be issued by a​ city, what is the probability that it will receive an A​ rating?

​(Round to three decimal places as​ needed.)

b. What proportion of municipal bonds are issued by​ cities?

​(Round to three decimal places as​ needed.)

c. What proportion of municipal bonds are issued by​ suburbs?

​(Round to three decimal places as​ needed.)

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