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Normal Probability

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Assume that, among residents of a large Florida subdivision, the population mean age is 65 years old, the population standard deviation is 2 years, and that the age variable is distributed normally.

What is the probability that a randomly chosen individual would be between 64 and 66 years of age?

What is the probability that a randomly chosen individual would be less than 64 years of age?

What is the probability that a randomly chosen individual would be either less than 64 years of age or more than 66 years of age?

Find the specific age for which the following statement is true: The probability of being this age, or older, is 15%.

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Solution Summary

The solution provides step by step method for the calculation of probability using the Z score. Formula for the calculation and Interpretations of the results are also included.

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Normal Distribution question
Assume that, among residents of a large Florida subdivision, the population mean age is 65 years old, the population standard deviation is 2 years, and that the age variable is distributed normally.
Answers
Let X be the age of residents of the large Florida subdivision. Given that X is normal with mean µ = 65 and standard deviation  = 2.
Standardizing the variable X using and from standard ...

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