How many of the following statements are correct?

[Statement 1] The largest value that a Poisson random variable X can have is n.

[Statement 2] If p remains constant in a binomial distribution, an increase in n will not change the mean.

[Statement 3] In a Poisson distribution, the mean and standard deviation are equal.

[Statement 4] The probability of success changes from trial to trial in Hypergeometrical distribution.

a.

0

b.

3

c.

1

d.

4

e.

2