REVIEW – APPLICATIONS OF THE NORMAL DISTRIBUTION.

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Presentation transcript:

REVIEW – APPLICATIONS OF THE NORMAL DISTRIBUTION

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

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

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

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

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

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.

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