2. The number of meteors found by a radar system in any 30-second interval under specified conditions averages 1.81 follows a Poisson process. Assume the meteors appear randomly and independently. a. What is the probability that at least one meteor is found in a one-minute interval? b. Determine x such that the probability no meteor is found in x-minute interval is 0.02. c. If there is no meteor appear after two-minute interval, what is the probability that it will appear in the next one and a half-minute interval?

A First Course in Probability (10th Edition)
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2. The number of meteors found by a radar system in any 30-second interval under specified
conditions averages 1.81 follows a Poisson process. Assume the meteors appear randomly
and independently.
UTM
a. What is the probability that at least one meteor is found in a one-minute
interval?
b. Determine x such that the probability no meteor is found in x-minute interval is 0.02.
UTMUT
UTMUTM
c. If there is no meteor appear after two-minute interval, what is the probability that it
will appear in the next one and a half-minute interval?
Transcribed Image Text:2. The number of meteors found by a radar system in any 30-second interval under specified conditions averages 1.81 follows a Poisson process. Assume the meteors appear randomly and independently. UTM a. What is the probability that at least one meteor is found in a one-minute interval? b. Determine x such that the probability no meteor is found in x-minute interval is 0.02. UTMUT UTMUTM c. If there is no meteor appear after two-minute interval, what is the probability that it will appear in the next one and a half-minute interval?
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