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Unit 5 Activity 3 - Normal Approximation to the Binomial Distribution Worksheet Recall: Binomial distributions are an example of discrete probability distributions. n =
Unit 5 Activity 3 - Normal Approximation to the Binomial Distribution Worksheet\" Recall: Binomial distributions are an example of discrete probability distributions. \" n = number of Bernoulli Trials\" 1:: = Probability of successful outcome\" q = Probability of single failure\" I A discrete binomial probability distribution can be approximated with a continuous normal distribution as long as the product. up and Hg are both greater than 5\" I As with other discrete data, oontinuous correction should be applied when approximating a binomial distribution by a normal distribution.\" Example 1 A bank found that 24% of its loans to new businesses become delinquent. If 20!] small businesses are selected randomly from the banls filesIr what is the probability that at least 60 of them are delinquent?\" (.1 (.1 (.1 Example 2 uenCola, a soft-drink company, knows that it has a 42% market share in one region of the province. Quen ICola's marketing department conduct. a blind taste test of H] people at the local mall.\" a} What is the probability that fewer than 25 people will choose QuenCola?\" b] 1What is the probability that exactly 25 people will choose EguenCola?\" 4.: 4
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