4. The longevity of MathBeats headphones is normally distributed with a mean of 5.2 years and a standard deviation of 1.1 years. (Longevity, in this case, is the amount of time these headphones function until they break.) (a) What is the probability that your headphones last at least 6 years? Include a sketch of this situation on an appropriately labeled bell-curve. (b) MathBeats includes a 3-year warranty on all of their headphones. They will replace any headphones that break before the 3 year mark with a new set. What is the probability that you will need this warranty? Include a sketch of this situation on an appropriately labeled bell curve.
4. The longevity of MathBeats headphones is normally distributed with a mean of 5.2 years and a standard deviation of 1.1 years. (Longevity, in this case, is the amount of time these headphones function until they break.) (a) What is the probability that your headphones last at least 6 years? Include a sketch of this situation on an appropriately labeled bell-curve. (b) MathBeats includes a 3-year warranty on all of their headphones. They will replace any headphones that break before the 3 year mark with a new set. What is the probability that you will need this warranty? Include a sketch of this situation on an appropriately labeled bell curve.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
Related questions
Question
Please help with question #4
Transcribed Image Text:Lab
The Normal Distribution
Part 1. The Normal Distribution
1. What does a z-score measure?
Z-score indicates how much a given value difference from the standard deviation. The Z
score, or standard score, is the number of standard deviations a given data point lies above
or below the mean.
2. Consider a normal distribution with a mean of 5 and a standard deviation of 0.75. Use this to find
Q1, Q2, and Q3.
3. Consider a normal distribution with a mean of 17 and a standard deviation of 2. What is the z-
score for x=18?
4. The longevity of MathBeats headphones is normally distributed with a mean of 5.2 years and a
standard deviation of 1.1 years. (Longevity, in this case, is the amount of time these headphones
function until they break.)
(a) What is the probability that your headphones last at least 6 years? Include a sketch of this
situation on an appropriately labeled bell-curve.
(b) MathBeats includes a 3-year warranty on all of their headphones. They will replace any
headphones that break before the 3 year mark with a new set. What is the probability that
you will need this warranty? Include a sketch of this situation on an appropriately labeled
bell curve.
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