Please help!
2. The manager of a children's puppet theatre has determined that the number of adult tickets he sells for a Saturday afternoon show follows a normal distribution with a mean of 28.3 tickets and a standard deviation of 5.3 tickets. The number of childrens tickets he sells for the same show follows a normal distribution with a mean 42.5 tickets, with a standard deviation of 8.1 tickets.
a) The adult tickets sell for $10 and children's tickets sell for $6. Let T = the money he collects from all ticket sales (adults and children) on a random Saturday. Assume (unrealistically, perhaps) that the number of tickets sold to adults is independent of the number sold to children. What are the mean and standard deviation of T?
b) What is the probability that a randomly selected Saturday sells over $600 in ticket sales.
