Review – applications of the normal distribution

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Review – applications of the normal distribution. The Standard Normal Distribution. What is the mean and standard deviation of a Standard Normal Distribution? Why do we need a Standard Normal Distribution?. Finding Probabilities.

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## Review – applications of the normal distribution

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### Review – applications of the normal distribution

The Standard Normal Distribution

What is the mean and standard deviation of a Standard Normal Distribution?

Why do we need a Standard Normal Distribution?

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.

What is the probability that a cat will live to be older than 16 years?

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.

How old would a cat have to be for it to be in the top 10% of cat ages?

The Central Limit Theorem

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 Binomial and Poisson Distributions

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”?

Normal Approximation to a Binomial Distribution.

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?

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 319Questions 1 – 10
• (Review Exercises)Page 319Questions 1 – 5
• Page 320Questions 7, 8, 9, 11