A manufacturer offers to sell a device for counting lightning flashes during thunder storms. The device can record up to five distinct flashes per minute.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A manufacturer offers to sell a device for counting lightning flashes during
thunder storms. The device can record up to five distinct flashes per minute.
a) If the average flash intensity experienced during a thunder storm at a record-
ing location is nine flashes in six minutes, what is the probability that at
least one flash will not be recorded in a one-minute period? What assump-
tions are being made?
b) Given this intensity, what is the probability of experiencing six lightning
flashes in a two- minute period?
c)
What is the highest average intensity in flashes per hour for which the
recorder can be used, if the probability of not recording all flashes in a
minute must be less than 10%?
Transcribed Image Text:A manufacturer offers to sell a device for counting lightning flashes during thunder storms. The device can record up to five distinct flashes per minute. a) If the average flash intensity experienced during a thunder storm at a record- ing location is nine flashes in six minutes, what is the probability that at least one flash will not be recorded in a one-minute period? What assump- tions are being made? b) Given this intensity, what is the probability of experiencing six lightning flashes in a two- minute period? c) What is the highest average intensity in flashes per hour for which the recorder can be used, if the probability of not recording all flashes in a minute must be less than 10%?
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