Question

Let P ( A ) = 0.4, P ( B ) = 0.2 and P (...

  • Let P ( A ) = 0.4, P ( B ) = 0.2 and P ( B | A ) = 0.4. Determine ?  (as a decimal) and ?  (as a decimal)
  • Two identical light bulbs are connect in series. If the probability of the system to fail is 19%, determine the probability of each light bulb to fail ? (as a decimal).
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Homework Answers

Answer #1

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Since lights are connected in series so the system will fail if at least one light fail. System will work if both light work.

It is given that

P(fail) = 0.19

By the complement rule,

P(system work) = 1 - P(Fail) = 1 - 0.19 = 0.81

Since lights are independent from each other so

P(system work) = P(light work)*P(light work)

So the probability of each light bulb to fail is

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