Answered: use values in Martin, TN are known to…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.3: Conditional Probability; Independent Events; Bayes' Theorem

Problem 64E

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Question

House values in Martin, TN are known to have a distribution that is skewed to the right instead of being normally distributed. Assume that house values in Martin, TN have a mean of $64,500 with a standard deviation of $21,350. Answer the following probability questions concerning house values in Martin, TN.

Part 1:

If 1 randomly selected house in Martin, TN is selected, what is the probability that this house has a value under $60,000?

Part 2:

If 30 randomly selected houses in Martin, TN are selected, use the Central Limit Theorem to determine the probability that their average value is under $60,000?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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