hourly pay in a small city is normally distributed with a mean of $34.58 and a standard deviation of $7.50. a. What is the probability that a randomly selected worker from the city earns between $38.00 and $40.00 per hour?

hourly pay in a small city is normally distributed with a mean of $34.58 and a standard deviation of $7.50. a. What is the probability that a randomly selected worker from the city earns between $38.00 and $40.00 per hour?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

The hourly pay in a small city is normally distributed with a mean of $34.58 and a standard deviation of $7.50.

a. What is the probability that a randomly selected worker from the city earns between $38.00 and $40.00 per hour?

b. What is the probability that the combined hourly pay of 5 randomly selected workers from the city is between $190 and $200 per hour?

c. What is the probability that the hourly pay for all 5 randomly selected workers is not between $38 and $40 per hour?

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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