1. Hits on a personal website occur quite infrequently. They occur randomly and independently with an average of five per week.
a. Find the probability that the site gets 10 or more hits in a week.
b. Determine the probability that the site gets 20 or more hits in 2 weeks.
2. In older cities across North America, infrastructure is deteriorating, including water lines that supply homes and businesses. A report to the Toronto city council stated that there are on average 30 water line breaks per 100 kilometers per year in the city of Toronto. Outside of Toronto, the average number of breaks is 15 per 100 kilometers per year.
a. Find the probability that in a stretch of 100 kilo- meters in Toronto there are 35 or more breaks next year.
b. Find the probability that there are 12 or fewer breaks in a stretch of 100 kilometers outside of Toronto next year.