Answered: If X is normally distributed with a…

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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)

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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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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