The manager of a boat renting company sees the weather forecasts for tomorrow.
It claims that the probability it will rain is 0.25
The probability that it will be cloudy and not rain is 0. 5
The probability that it will be sunny is 0.25
The Managers previous experience is such that during rainy days his profit is 0.
During cloudy days his profit is $50, and during sunny day his profit is $200
What is his expected profit for tomorrow?