Finding expression 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?
Thanks

The classical example for Poisson distribution is the number of spelling mistake in Pages of a book. In the same notion, here $X$ is a poisson random variable with some mean $\mu$ and the expression $P(X=k)$ is the probability of the exact $k$ student passed in the examination.
