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Suppose for entertainment you go to both park and enjoy movie. There is a 0.40 probability that you will go to Park. There is a

Suppose for entertainment you go to both park and enjoy movie. There is a 0.40 probability that you will go to Park. There is a 0.72 probability that you will go to a park, enjoy a movie or do both. The probability of going to a park and enjoying a movie is 0.25.

a.If you go to a park, what is the probability that you will also enjoy a movie ?

b.What is the probability that you will enjoy a movie?

c.Are goingto a park and enjoying a movie independent events? Explain using probabilities.

d.Are these two events mutually exclusive? Explain using probabilities.

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