ssignment 4 FlyHigh Airlines determined that the distance travelled per aircraft per year is normally distributed, with a mean of 60 thousand miles and a variance of 100 thousand miles. a) What proportion of aircrafts can be expected to travel between 44 and 54 thousand miles in a year? b) What percentage of aircrafts can be expected to travel either less than 25 or more than 70 thousand miles in a year? c) How many miles will be travelled by at least 70 percent of the aircrafts?

ssignment 4 FlyHigh Airlines determined that the distance travelled per aircraft per year is normally distributed, with a mean of 60 thousand miles and a variance of 100 thousand miles. a) What proportion of aircrafts can be expected to travel between 44 and 54 thousand miles in a year? b) What percentage of aircrafts can be expected to travel either less than 25 or more than 70 thousand miles in a year? c) How many miles will be travelled by at least 70 percent of the aircrafts?

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 3CYU

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Question

Assignment 4 FlyHigh Airlines determined that the distance travelled per aircraft per year is normally distributed, with a mean of 60 thousand miles and a variance of 100 thousand miles. a) What proportion of aircrafts can be expected to travel between 44 and 54 thousand miles in a year? b) What percentage of aircrafts can be expected to travel either less than 25 or more than 70 thousand miles in a year? c) How many miles will be travelled by at least 70 percent of the aircrafts? d) What is the proportion of aircraft that travelled at least 50 thousand miles?

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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