In order to study whether the rainfall in sub-Saharan Africa has any effects on hurricane landfall on the east coast of the United States, one study obtained the following results during the 41 year period between 1947 and 1987: There were a total of 23 wet years in the sub-Saharan African, 13 of which strong hurricanes occurred on the east coast of US. There were 18 drought years in the subSaharan African, strong hurricane was found in one of these years. The result can be summarized in the following table: Wet Drought Hurricane 13 1 14 No Hurricane 10 17 27 23 18 41 a) What is the probability of hurricanes in the eastern US? b) What is the probability of drought in the sub-Saharan African? c) What is the probability of hurricane in the eastern US given that the sub-Saharan African has lots of rainfall? d) What is the probability of strong hurricane in the eastern the sub-Saharan African and US also has little rainfall in that year?

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In order to study whether the rainfall in sub-Saharan Africa has any effects on hurricane landfall on the east coast of the United States, one study obtained the following results during the 41 year period between 1947 and 1987:

There were a total of 23 wet years in the sub-Saharan African, 13 of which strong hurricanes occurred on the east coast of US. There were 18 drought years in the subSaharan African, strong hurricane was found in one of these years.
The result can be summarized in the following table: 

  Wet Drought  
Hurricane 13 1 14
No Hurricane 10 17 27
  23 18 41

                             
a) What is the probability of hurricanes in the eastern US?
b) What is the probability of drought in the sub-Saharan African?
c) What is the probability of hurricane in the eastern US given that the sub-Saharan African
has lots of rainfall?
d) What is the probability of strong hurricane in the eastern the sub-Saharan African and US
also has little rainfall in that year? 

Expert Solution
Step 1: Step 1

A is the event associated with a sample space in which n equally likely outcomes present. If n(A) is the number of outcomes favorable to A then by classical definition of probability, the probability of an event A is

P(A)=n(A)/n

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