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What is the probability that manufacturer a produced screen

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Reference no: EM132852597

Say that two different manufacturers (call them A and B) are equally likely to produce screens for laptops. The lifetimes for the screens (measured in hundreds of hours) manufactured by each company are independently distributed as follows:

  • Manufacturer A: lifetime of screens are normally distributed: N(20, 4)
  • Manufacturer B: lifetime of screens are exponentially distributed: Exp(1/20)

Say we bought a laptop, have used it for 18 hundred hours so far, and the screen is still working at this point in time.

a. At this point in time, what is the probability that manufacturer A produced the screen?

b. At this point in time, what is the probability that manufacturer B produced the screen?

Reference no: EM132852597

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