Find the probability that all 5 gearboxes will fit properly. b) Find the mean, variance, and standard deviation of the time it takes to install these gearboxes.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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In an assembly-line production of industrial robots, gearbox assemblies can be installed in 1 minute each if holes have been properly drilled in the boxes, and in 10 minutes if the holes must be redrilled. Twenty gearboxes are in stock, 2 with improperly drilled holes. Five gearboxes must be selected from the 20 that are available for installation in the next five robots.

a) Find the probability that all 5 gearboxes will fit properly.

b) Find the mean, variance, and standard deviation of the time it takes to install these gearboxes.

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