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REVIEW – APPLICATIONS OF THE NORMAL DISTRIBUTION.

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Presentation on theme: "REVIEW – APPLICATIONS OF THE NORMAL DISTRIBUTION."— Presentation transcript:

1 REVIEW – APPLICATIONS OF THE NORMAL DISTRIBUTION

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

3 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

4 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

5 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

6 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

7 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.

8 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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