Answered: regional radio station recently…

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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A regional radio station recently conducted a survey amongst a large sample of bus commuters to find out how long they listen to the radio in the bus whilst travelling to work in the morning. This information was used to attract product sponsors to the programs. Assume that ‘listening time’ found from the survey is normally distributed with a mean of 20 minutes and a standard deviation of 4 minutes.

What is the probability that a randomly selected commuter will listen to the radio between14 and 18 minutes whilst travelling to work in the mornings?

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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