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In: Statistics and Probability

Historically, there is a 35% chance of rain on any given day in April. Furthermore, on...

Historically, there is a 35% chance of rain on any given day in April. Furthermore, on days when it rains, 90% of the time there are dark clouds in the morning. On days when it does not rain, 25% of the time there are dark clouds in the morning.

a) Construct a properly labelled tree diagram to represent this problem.

b) What is the chance of dark clouds in the morning on a random day in April?

c) Given that there are dark clouds in the morning, what is the chance that it will rai

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