Answered: 6 The weight of luggage carried onto a…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

The weight of luggage carried onto a plane by passengers is normally distributed with a mean of 30 Kg and a standard deviation of 5 Kg.

C. Passengers are “fast-tracked” if they have luggage weighing less than 15 Kg. What percentage of passengers is fast tracked? Show your work. Draw the distribution and identify the probability in the distribution.
d. The airline wants to set the maximum weight limit so that only 2.5% of passengers have to pay an overweight luggage fee. What limit should it set? Show your work. Draw the distribution and identify the limit in the distribution.

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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