DJ and EB, the co-founders of Thumbs Up Inc., are planning to build a 300-seat theatre next to Victoria Park in London. After studying the market, they have drawn the following conclusions: There will be one show every day. The theatre will make a revenue of $2.00 on each occupied seat. There will be no revenue from unoccupied seats. The probability that it rains on any given day is 0.30 The demand for seats on a dry day is normally distributed with a mean of 275 and a standard deviation of 30. The demand for seats on a rainy day is normally distributed with a mean of 250 and a standard deviation of 45.

What is the standard deviation of daily revenue? What is the probability that all the seats will be sold out?