11. An agency is conducting performance tests on different brands of skateboards. Tests show that the pressure, in pounds per square inch, required to break the boards is normally distributed with a mean of 54.7 and a standard deviation of 6.2. a. What percent of the boards have breaking pressures between 50 and 60? b. What is the probability that any board will require at least a pressure of 70 to break? c. In what range centered on the mean will 80% of the data lie?

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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11. An agency is conducting performance tests on different brands of
skateboards. Tests show that the pressure, in pounds per square inch,
required to break the boards is normally distributed with a mean of 54.7 and
a standard deviation of 6.2.
a. What percent of the boards have breaking pressures between 50 and
60?
b. What is the probability that any board will require at least a pressure
of 70 to break?
c. In what range centered on the mean will 80% of the data lie?
Transcribed Image Text:11. An agency is conducting performance tests on different brands of skateboards. Tests show that the pressure, in pounds per square inch, required to break the boards is normally distributed with a mean of 54.7 and a standard deviation of 6.2. a. What percent of the boards have breaking pressures between 50 and 60? b. What is the probability that any board will require at least a pressure of 70 to break? c. In what range centered on the mean will 80% of the data lie?
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