Let Y₁, Y2...., Y, denote a random sample from a Poisson distribution with mean λ and def Y - A √√y/n a Show that the distribution of W,, converges to a standard normal distribution. b Use W₁, and the result in part (a) to derive the formula for an approximate 95% confider interval for >. W₁

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Let Y₁, Y2,..., Y, denote a random sample from a Poisson distribution with mean λ and define
Y - λ
Y/n
a
Show that the distribution of W, converges to a standard normal distribution.
b Use W₁, and the result in part (a) to derive the formula for an approximate 95% confidence
interval for >.
W₁
Transcribed Image Text:Let Y₁, Y2,..., Y, denote a random sample from a Poisson distribution with mean λ and define Y - λ Y/n a Show that the distribution of W, converges to a standard normal distribution. b Use W₁, and the result in part (a) to derive the formula for an approximate 95% confidence interval for >. W₁
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