6. Suppose there are two light bulbs in a box, one of which has lifetime (in hours) distributed as a uniform on (0, 10) and the other of which has lifetime (in hours) distributed as an exponential with rate 1/6. You pick a bulb at random, plug it in, and it is still working after 6 hours. Given this, what is the probability it will last (at least) 6 more hours?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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6. Suppose there are two light bulbs in a box, one of which has lifetime (in hours) distributed as a uniform on (0, 10)
and the other of which has lifetime (in hours) distributed as an exponential with rate 1/6. You pick a bulb at
random, plug it in, and it is still working after 6 hours. Given this, what is the probability it will last (at least)
6 more hours?
Transcribed Image Text:6. Suppose there are two light bulbs in a box, one of which has lifetime (in hours) distributed as a uniform on (0, 10) and the other of which has lifetime (in hours) distributed as an exponential with rate 1/6. You pick a bulb at random, plug it in, and it is still working after 6 hours. Given this, what is the probability it will last (at least) 6 more hours?
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