Records for the past several years show that the amount of money collected daily by a prominent televangelist is normally distributed with a mean of 20,000 USD and a standard deviation of 5,000 USD. What are the chances that tomorrow's donations will exceed USD 30,000? Show full solution.

Records for the past several years show that the amount of money collected daily by a prominent televangelist is normally distributed with a mean of 20,000 USD and a standard deviation of 5,000 USD. What are the chances that tomorrow's donations will exceed USD 30,000? Show full solution.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 3GP

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Question

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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