1.The state highway patrol has determined that one out of every six calls for help originating from roadside call boxes is a hoax. Five calls for help have come in and five tow trucks have been dispatched.

1)What is the probability that none of the calls was a hoax?

2)What is the probability that only three of the callers really needed assistance?

3)If the highway patrol answers 10,000 calls for help next year and each call costs the patrol about $50 (labor, gas, etc.), approximately how much money will be wasted answering false alarms?