Consider students arriving at the famous restaurant. Since the students have different schedules there's a possibility of students going to this restaurant all day long for meals.

Which of the following statements are true?

a.The probability that the time is less than 30 minutes until the next student arrives is 0.713.

b.If 5 students arrive every 2 hours, then the number of DSAN students arriving at the restaurant is a Poisson process with the rate parameter lambda is 2.5.

c.The exponential distribution is memoryless because it has the same distribution regardless of how much time has already elapsed if you haven't observed anything during that time period.

d.The homogeneous Poisson process is based on a constant rate of events and In contrast to the homogeneous Poisson process,the intensity function (rate function) of an inhomogeneous Poisson process is a nonconstant function.