A professor receives,on average,24.7 e-mails from students the day before the midterm exam.To compute the probability of receiving at least 10 e-mails on such a day,he will use what type of probability distribution?
A)binomial distribution.
B)Poisson distribution.
C)hypergeometric distribution.
D)none of the above.

Question

Quizplus · Accepted Answer

The Poisson distribution is appropriate for calculating the probability of rare events occurring in a fixed interval of time or space. In this case, the professor is interested in the number of emails received in a day, and the average is given, making Poisson a suitable choice. The binomial and hypergeometric distributions are used for different types of problems, such as counting successes in multiple independent trials or sampling without replacement, respectively, and are not appropriate here.

A Professor Receives,on Average,24