1. a radio station is giving away concert tickets to every 60th caller and a concert t-shirt to every 45th caller. what will be number of the first caller to get both items? explain.

2. a cuckoo clock has birds that pop out their nets every 6 minutes and dancers that pop out every 15 minutes. the birds and dancers have just popped out at the same time. when will this happen agan in the next 60 minutes?

The weekly amount spent by a company for travel has an approximately normal distribution with mean = $550 and standard deviation = $40. a) what is the probability that the actual weekly expense will exceed $570 for more than 20 weeks during the next year? (note: one year = 52 weeks) b) what is the probability that actual weekly expenses exceed $580 for 10 or more, but 16 or fewer weeks during the next year?