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Given the full joint distribution shown in the following table alarm alarm earthquake earthquake earthquake earthquake burglary 0.01 0.08 0.001 0.009 burglary 0.01 0.09 0.01

Given the full joint distribution shown in the following table

alarm

alarm

earthquake

earthquake

earthquake

earthquake

burglary

0.01

0.08

0.001

0.009

burglary

0.01

0.09

0.01

0.79

Calculate the following and show your work, to 4 decimal places (if more):

a. P (burglary)

b. P(burglary earthquake)

c. P(earthquake | burglary)

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