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REVIEW – APPLICATIONS OF THE NORMAL DISTRIBUTION

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What is the mean and standard deviation of a Standard Normal Distribution? Why do we need a Standard Normal Distribution? The Standard Normal Distribution

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The life span of domesticated cats is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years. What is the probability that a cat will live to be older than 16 years? Finding Probabilities

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The life span of domesticated cats is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years. How old would a cat have to be for it to be in the top 10% of cat ages? Finding Values

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The life span of domesticated cats is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years. If we sampled 9 cats, what is the probability that their mean age would exceed 16 years? The Central Limit Theorem

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The average number of cats “singing” outside my window every night is 4. What is the probability that on a randomly selected night, there will be 5 cats “singing”? The Binomial and Poisson Distributions

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In the US, about 63% of all domesticated cats have been “de-clawed”. In a random sample of 320 cats, what is the probability that at least 200 have been declawed? Normal Approximation to a Binomial Distribution.

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Unit 5 – Review (The Normal Distribution) The Standard Normal Distribution Finding Probabilities Finding Values The Central Limit Theorem The Poisson and Binomial Distribution Approximating the Binomial Distribution with a Normal Distribution The Benchmark Assessment will be Tuesday, February 26th Assignment (Quick Quiz) Page 319 Questions 1 – 10 (Review Exercises) Page 319 Questions 1 – 5 Page 320 Questions 7, 8, 9, 11

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Distribution of Sample Means, the Central Limit Theorem If we take a new sample, the sample mean varies. Thus the sample mean has a distribution, called.

Distribution of Sample Means, the Central Limit Theorem If we take a new sample, the sample mean varies. Thus the sample mean has a distribution, called.

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