1.) On New York's Verrazano Narrows bridge, traffic accidents occur as a mean rate of 1.0 crash per day. Let X be the number of crashes in a given day.
a) What is the probability of at least one crash per week?
b) If there is an accident on Monday morning at 9:00 a.m. what would the probability of having the next accident by 9:00 p.m. (i.e. the next accident happens after 12 hours)?
2.) If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of 8 automobiles, at least 7 will have both headlights working?