1. Suppose insurance annuity tables shows that, on average 1.8 houses are destroyed fire every hour in Australia. What is the probability than an hour and a half goes by without a house being destroyed by fire?

2.The manager of a branch of a major bank wants to improve service and is thinking about giving $1 to any customer who waits in line for a period of time that is considered excessive. (The bank ultimately decided that more than 8 minutes is excessive.) However, to get a better idea about the level of current service, the bank undertook a survey of customers. A student was hired to measure the time spent waiting in line by a random sample of 50 customers. Using a stopwatch, the student determined the amount of time between the time the customer joined the line and the time they reached the teller. The times were recorded. Construct a 99% confidence interval estimate of the mean waiting time for the bank's customers.