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A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Woodworkers Alex and Brandon make precision pieces for toys. Each toy requires four 8-inch long
sticks. Alex cuts four sticks one at at time, and their lengths are independent. Alex's sticks have mean
length 8 inches with a standard deviation 0.15 inches. Brandon clamps four sticks together and cuts
them all at once, so that they all have the same length. Brandon's sticks also have a mean length of 8
inches with a standard deviation of 0.15 inches.
a. Alex's four sticks are laid end-to-end. What is the mean of the total length? What is the standard
deviation of the total length?
b. Brandon's four sticks are laid end-to-end. What is the mean of the total length? What is the
standard deviation of the total length?
c. Four sticks, two from Alex and two from Brandon, are laid end-to-end. What is the mean of the
total length? What is the standard deviation of the total length?
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