A light fixture holds two lightbulbs bulb a is of a type

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Reference no: EM13621241

A light fixture holds two lightbulbs. Bulb A is of a type whos lietime is nomally distributed with mean 800 hours and standard deviation 100 hours. Bulb B has a lifetime that is normally distributed with mean 900 hours and standard deviation 150 hours. Assume that the lifetimes of the bulbs are independent.

A: What is the probability that bulb B lasts longer than bulb A?

B: What is the probability that bulb B lasts more than 200 hours longer than bulb A?

C: Another light fixture holds only one bulb. A bulb of type A is installed, and when it burns out, a bulb of type B is installed. What is the probability that the total lifetime of the two bulbs is more than 2000 hours?

Reference no: EM13621241

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