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Mathematics, 15.11.2019 20:31 esnyderquintero
The life of a red bulb used in a traffic signal can be modeled using an exponential distribution with an average life of 24 months. the maintenance worker inspects the signal every year.
• what is probability that the red bulb will need to be replaced at the first inspection?
• if the bulb is in good condition at the end of 18 months, what is the probability that the bulb will be in good condition at the end of 24 months? hint: use p(a | b) = p(a∩b) p(b)
• if the signal has six red bulbs, what is the probability that atleast one of them needs replacement at the first inspection? assume distribution of lifetime of each bulb is independent.
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