Explanation Here x follows is normal distributions with mean μ and standard deviation σ . Then x can be written as follows, x ∼ N ( μ , σ 2 ) Then find value of probability when x = μ P ( x = μ ) = P ( z = μ ) → ( 1 ) ; Because x follows normal distributions, Where Z = ( x − μ σ )

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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.

Chapter 7.2, Problem 16E

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To find : normal population has a mean of μ and standard deviation of σ , then P (X= μ) =0

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Chapter 7.2, Problem 15E

Chapter 7.2, Problem 17E

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Chapter 7 Solutions

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normal population has a mean of μ and standard deviation of σ , then P ( X = μ ) = 0

Solution Summary: The author explains that x follows is normal distributions with mean and standard deviation.

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To find : normal population has a mean of μ and standard deviation of σ , then P (X= μ) =0

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