You are Vice President of Ticket Sales for Toronto FC. The average price of ticket is $20, and you expect to sell 8000 tickets on any given day. However, if it rains you will only sell 1500 tickets. Tomorrow there is a 15% chance of showers. What is the expected sales revenue of tomorrow’s game?
please provide a detailed solution
The average price of ticket = $20
P[ it will rain tomorrow ] = 15% = 0.15
P[ it will not rain tomorrow ] = 1 - 0.15 = 0.85
Number of tickets sold if it does not rain tomorrow = 8000
Number of tickets sold if it rains tomorrow = 1500
Expected revenue if it rains = P[ it will rain tomorrow ]*Number of tickets sold if it rains tomorrow*The average price of ticket
Expected revenue if it rains = 0.15*1500*20 = $4500
Expected revenue if it does not rains = P[ it will not rain tomorrow ]*Number of tickets sold if it does not rain tomorrow*The average price of ticket
Expected revenue if it does not rains = 0.85*8000*20 = $136000
Expected sales revenue of tomorrow’s game = Expected revenue if it rains + Expected revenue if it does not rains
Expected sales revenue of tomorrow’s game = 4500 + 136000 = $140500
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