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Historically, 20% of business entrepreneurs graduate from the top MBA program. Of those who graduated from the top MBA 60% are successful, while only 30%

Historically, 20% of business entrepreneurs graduate from the top MBA program. Of those who graduated from the top MBA 60% are successful, while only 30% of the entrepreneurs not graduating from top MBA program are successful. Let M represent the event a business entrepreneur graduates from the top MBA program and S represent the event they are successful.

a) What is the probability that a randomly selected entrepreneur is successful?

b) Given that an entrepreneur is successful, what is the probability that they graduated from the top MBA program?

c) Are the events M and S independent?

d) Are the events M and S exclusive?

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