(a) A lamp has two bulbs of a type with an average lifetime of 1600 hours. Assum

Question

(a) A lamp has two bulbs of a type with an average lifetime of 1600 hours. Assuming that we can model the probability of failure of these bulbs by an exponential density function with mean ? = 1600, find the probability that both of the lamp's bulbs fail within 1500 hours. (Round your answer to four decimal places.)

(b) Another lamp has just one bulb of the same type as in part (a). If one bulb burns out and is replaced by a bulb of the same type, find the probability that the two bulbs fail within a total of 1500 hours. (Round your answer to four decimal places.)

I've exhausted all of my tries except one for each part. Somebody please help me out, I want to know what I'm doing wrong.

Explanation / Answer

Probability = 0.3094 [=(0.556253)^2]

Exponential with mean = 1600

x P( X <= x )
1300 0.556253

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