I don't understand this at all..
We have a Poisson distribution with parameter μ. The probability to pass the test (for the students) is p=2/3. Let X be the amount of students to pass the test. Find an expression for P(X=k). Which probability distribution does X have?
This is more or less my homework problem. Finding the expression for P(X=k). What does it mean? Am I wrong if I think that the X is an uniform distribution? Because for all students that pass the test, the probability is the same?