Six batteries are needed in the production of toy trucks. The quality assurance department requires that each truck be tested before it gets boxed for distribution. During this test, if one of the batteries is dead, the toy truck will not function and would have to be reworked and be sent back. Assume that the batteries are obtained from a large lot that consists of 20% dead batteries.  Calculate the probability that a toy would have to be reworked.  What is the probability that out of five toy trucks, two will not function?

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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Six batteries are needed in the production of toy trucks. The quality assurance department requires that each truck be tested before it gets boxed for distribution. During this test, if one of the batteries is dead, the toy truck will not function and would have to be reworked and be sent back. Assume that the batteries are obtained from a large lot that consists of 20% dead batteries. 

  1. Calculate the probability that a toy would have to be reworked. 
  2. What is the probability that out of five toy trucks, two will not function? 
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