In: Statistics and Probability
Q1
a) Determine the first quartile Q1 for the binomial distribution: X~Bi(n=20,p=0.25) (see Lab 2).
b) Poisson distribution: X~Poisson(lambda=4.5). Evaluate Pr(X>5) and round to three decimal places.
c) Assume that you need to construct a normal approximation to a Binomial distribution Binomial(n=200, p=0.45). What are the parameters of the corresponding normal distribution?