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An assembly-line robot installs a CD player in each car produced on the line. For quality control, the units are tested to make sure that

  1. An assembly-line robot installs a CD player in each car produced on the line. For quality control, the units are tested to make sure that they are installed properly. The robot has a probability of malfunctioning of 0.2.

a) Determine the probability distribution of the number of tests performed before a malfunction is found. Graph the probability distribution. (I suggest for Random Variable X to go from 0 to 10, 11 and up is not needed in this table)

b) What is the expected number of tests before a malfunction is found?

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