(Answered) Suppose an economist knows the following statistics about a

Statistics

Suppose an economist knows the following statistics about a particular economy:

The economy will be in a period of strong growth with probability 0.6
The economy will be in a period of weak growth with probability 0.4
In periods of strong growth, the probability that the economy's currency appreciates in value is 0.7
In periods of weak growth, the probability that the economy's currency appreciates in value is 0.3
The probability of a currency appreciation in any given period is 0.54.

What is the probability of strong growth and a currency appreciation in any given period?

A. 0.42

B. 0.28

C. 0.18

D. 0.12

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