Toby's Trucking Company determined that on an annual basis, the distance traveled per truck is normally distributed, with a mean of 50,000 miles and a standard deviation of 12,000 miles.What proportion of trucks can be expected to travel between 38,000 and 62,000 miles in the year?What percentage of the trucks travel less than 35,000 miles in the year?What percentage of the trucks travel more than 57,000 miles in the year?How many miles will be traveled by at least (equal to and more than) 72% of the trucks?Your Answers:_____________ B. _____________ C. _____________ D. ________ Warranty records show that the probability that a new car needs a warranty repair in the first 90 days is 0.05. If a sample of 3 new cars is selected:What is the probability that none needs a warranty repair? __________________What is the probability that at least one needs a warranty repair? _________________What is the probability that more than one needs a warranty repair? __________________The key components of this problem are:Sample size (trials) = 3 new carsProbability of “success” = 5%Number of “successes”:A: Exactly 0B: 1 or moreC: More than one

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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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Toby's Trucking Company determined that on an annual basis, the distance traveled per truck is normally distributed, with a mean of 50,000 miles and a standard deviation of 12,000 miles.

What proportion of trucks can be expected to travel between 38,000 and 62,000 miles in the year?
What percentage of the trucks travel less than 35,000 miles in the year?
What percentage of the trucks travel more than 57,000 miles in the year?
How many miles will be traveled by at least (equal to and more than) 72% of the trucks?

Your Answers:

_____________ B. _____________ C. _____________ D. ________

Warranty records show that the probability that a new car needs a warranty repair in the first 90 days is 0.05. If a sample of 3 new cars is selected:

What is the probability that none needs a warranty repair? __________________
What is the probability that at least one needs a warranty repair? _________________
What is the probability that more than one needs a warranty repair? __________________

The key components of this problem are:
Sample size (trials) = 3 new cars
Probability of “success” = 5%
Number of “successes”:

A: Exactly 0
B: 1 or more
C: More than one

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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