Which of the following statements are true?

Assume in a University Graduate program, on average five students drop below a grade of 80% (identified as "struggling students") in every semester. A typical semester contains 14 weeks. Assume that this program has 125 students. We want to find the probability that there will be no more than two struggling students in seven weeks.

a.The trials are independent, then X = number of struggling students in a week is binomial distributed with n=125, p=5/14.

b.Since N is large and p is small, we can approximate this with a poisson distribution where lambda is Np = 44.64.

c.We can assume that identifying a struggling students is a Bernoulli trial with success probability p = 5/14

d.The probability that there will be no more than two struggling students in seven weeks is 0.543