Let X be a normally distributed random variable with a mean of 210 and a variance of 484. Find the probability (percentage) of the following. to the left of 200 above of 150 at least 225 Answer 3 no more than 165 to the right of 230

Let X be a normally distributed random variable with a mean of 210 and a variance of 484. Find the probability (percentage) of the following. to the left of 200 above of 150 at least 225 Answer 3 no more than 165 to the right of 230

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

Let X be a normally distributed random variable with a mean of 210 and a variance of 484.

Find the probability (percentage) of the following.

to the left of 200
above of 150
at least 225	Answer 3
no more than 165
to the right of 230

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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