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GATE Mathematics 2014 Paper

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Question : 36

Total: 55

The time to failure, in months, of light bulbs manufactured at two plants A and B obey theexponential distribution with means 6 and 2 months respectively. Plant B produces four times asmany bulbs as plant A does. Bulbs from these plants are indistinguishable. They are mixed and soldtogether. Given that a bulb purchased at random is working after 12 months, the probability that itwas manufactured at plant A is ______

0.92 to 0.94
0 to 1
0.2 to 0.6
0.1 to 0.4

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