The student will analyze data following a normal distribution.
Given
The life of Sunshine CD players is normally distributed with a mean of 4.1 years and a standard deviation of 1.3 years. A CD player is guaranteed for 3 years. We are interested in the length of time a CD player lasts.
Normal distribution
Define the Random Variable
in words.
~
Find the probability that a CD player will break down during the guarantee period.
Sketch the situation. Label and scale the axes. Shade the region corresponding to the probability.
(Use zero (0) for the minimum value of x.)
Find the probability that a CD player will last between 2.8 and 6 years.
Sketch the situation. Label and scale the axes. Shade the region corresponding to the probability.
Find the 70th percentile of the distribution for the time a CD player lasts.
Sketch the situation. Label and scale the axes. Shade the region corresponding to the lower 70%.
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Source:
OpenStax, Collaborative statistics using spreadsheets. OpenStax CNX. Jan 05, 2016 Download for free at http://legacy.cnx.org/content/col11521/1.23
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