Rhoda Harley rides her motorcycle when making deliveries for Fleet Delivery Services. The number of miles she drives in a month appears to be normally distributed with a mean of 3,000 miles and a standard deviation of 200 miles. What is the probability that the number of miles she drives next month is a. Between 2,800 and 3,200 miles? b. 3,160 miles or less? c. Between 2,840 and 3,160 miles?

Rhoda Harley rides her motorcycle when making deliveries for Fleet Delivery Services. The number of miles she drives in a month appears to be normally distributed with a mean of 3,000 miles and a standard deviation of 200 miles. What is the probability that the number of miles she drives next month is a. Between 2,800 and 3,200 miles? b. 3,160 miles or less? c. Between 2,840 and 3,160 miles?

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

a. Between 2,800 and 3,200 miles?

b. 3,160 miles or less?

c. Between 2,840 and 3,160 miles?

d. At least 2,840 miles?

e. Find the 87th percentile.

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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