Answered: Match the probabilities with their…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 41E

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Question

To find the probabilities of X taking a value in an interval you can use the calculator command normalcdf(start, end)

Match the probabilities with their values.

Z is a Random Variable which has a standard normal distribution. N(0,1)

Probabilities:

P(Z < 1.8)

P(Z > 1.8)

P(Z < -1.9)

P(Z > -1.9)

P(-1.9 < Z < 1.8)

Values:

0.964

0.935

0.971

0.029

0.036

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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