Accidents occur in a factory at the rate of 4 per week. Assume that accidents happen randomly and independently of each other.a) What is the probability that the time to the first accident is greater than 2 weeks? Answer to 4 places past the decimal.
b) What is the probability that the time to the first accident is less than 2 days (2/7 week)? Answer to 3 places past the decimal.
c) What is the mean time(in weeks) to the first accident? Answer to 2 places past the decimal
d) What is the variance of the time(in weeks) to the first accident? Answer to 2 places past the decimal