Answered: If X is normally distributed with a…

Math

Probability

If X is normally distributed with a mean of 6 and a variance of 25, P(|X-6|<5) P(|X-6|<10) P(|X-6|<15)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.2: Box-and-whisker Plots

Problem 1E

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Question

If X is normally distributed with a mean of 6 and a variance of 25,

P(|X-6|<5)

P(|X-6|<10)

P(|X-6|<15)

P(|X-6|<12.4)

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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