2. The number of stork sightings on a route in South Carolina follows a Poisson process with a mean of 2.3 per year. (a) What is the probability that there are no sightings within three months? (b) What is the probability that the time until the first sighting exceeds six months? (c) What is the probability of no sighting within three years?

Poisson distribution. The manager of Harcourt Hospital is looking into the numbers of surgeries that the hospital has every day. They found that the mean number of surgeries per day is “a+1”. a) What is the probability that in any particular day there are exactly 5 surgeries? a=1

2. If electricity power failures occur according to a Poisson distribution with an average of 5 failures every 20 weeks, calculate the probability that there will not be more than one failure during a particular week.

1] It has been reported that 50% of college students graduate in six years. Consider a random sample of 37 students and consider the number who graduate in six years. Using an appropriate probability distribution model ...    Find the probability that more than 19 students in the sample graduate in six years.  Find the probability that less than 19 students in the sample graduate in six years.