Two geysers that are near to each other are labelled as Geyser A and Geyser B. The time between eruptions for a given geyser follows an exponential distribution. The eruption times of the two geysers are independent of one another. The mean amount of time between eruptions of Geyser A is 39 minutes, and the mean amount of time between eruptions of Geyser B is 66 minutes. Given that exactly one of the geysers erupts within the next 49 minutes, determine the probability that it will be Geyser A. O 0.6654 0.7850 O 0.7252 O 0.6953 O 0.7551

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Two geysers that are near to each other are labelled as Geyser
A and Geyser B. The time between eruptions for a given geyser
follows an exponential distribution. The eruption times of the
two geysers are independent of one another. The mean
amount of time between eruptions of Geyser A is 39 minutes,
and the mean amount of time between eruptions of Geyser B
is 66 minutes. Given that exactly one of the geysers erupts
within the next 49 minutes, determine the probability that it
will be Geyser A.
O 0.6654
0.7850
O 0.7252
O 0.6953
O 0.7551
Transcribed Image Text:Two geysers that are near to each other are labelled as Geyser A and Geyser B. The time between eruptions for a given geyser follows an exponential distribution. The eruption times of the two geysers are independent of one another. The mean amount of time between eruptions of Geyser A is 39 minutes, and the mean amount of time between eruptions of Geyser B is 66 minutes. Given that exactly one of the geysers erupts within the next 49 minutes, determine the probability that it will be Geyser A. O 0.6654 0.7850 O 0.7252 O 0.6953 O 0.7551
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