Let Y1, Y2, . . . , Yn denote a random sample from Poisson distribution with the mean %u03BB and define
\(Wn = (Y-%u03BB) / \sqrt{Y/n}\)
a. Describe that the distribution of Wn converges to a standard normal distribution.
b. Employ Wn and the result in part (a) to derive the formula for an approximate 95% confidence interval for %u03BB.