STAT 201 Normal Approximation

# STAT 201 Normal Approximation - STAT 201 Recitation May to...

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Click to edit Master subtitle style 9/26/11 STAT 201 Recitation May 21st, 2010

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9/26/11 Quick Review of Binomial Distribution n identical & independent trials Constant success probability π (or denoted as p sometime) Mean µ= n π Standard deviation 1- n σ π π =
9/26/11 How to figure out Binomial Distribution problems? When n is small (n≤25), we use Binomial table to figure out the binomial problems But…. If n>25, now how to figure them out??? Use Normal Approximation! That is, convert a binomial distribution problem to be a normal distribution problem.

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Click to edit Master subtitle style 9/26/11 Normal Approximation Of The Binomial Distribution: then a binomial distribution can be approximated as normal distribution with µ= n π If n, and   are such that: π n   5 π n (1- )  π ≥ 5 1- n σ π π =
9/26/11 Example Problem: A hotel has 100 rooms and the probability a room is occupied on any given night is 0.6. Assume the conditions of the binomial are met for the number of occupied rooms on any given night. (a) Find the probability that exactly 65 rooms are occupied

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