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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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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 &U
a. What is the probability that at least one meteor is found in a one-minute
TM
interval?
b. Determine x such that the probability no meteor is found in x-minute interval is 0.02.
UTM UTM
UTM &U
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?
UTMUS
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 &U a. What is the probability that at least one meteor is found in a one-minute TM interval? b. Determine x such that the probability no meteor is found in x-minute interval is 0.02. UTM UTM UTM &U 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? UTMUS
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