Which of the following statements about the Poisson distribution (with mean = and k a natural number) is false? Response choices:

• A: For sufficiently large values of , the Poisson distribution can be approximated by the normal distribution with mean and variance
• B: The Poisson distribution can be used to approximate the Binomial(n,p) distribution if n is large and p is small
• C: The Gamma(k,1/ ) distribution can be approximated by the Poisson distribution
• D: For all values of the variance of the Poisson distribution will never be smaller than
• E: None of the above.