The number of gamma rays emitted per second by a certain radioactive substance is a random variable whose average is 5.8 rays per second. random variable whose average is 5.8 rays per second. In each second, a recording instrument measures the amount of gamma rays measures the number of gamma rays of the substance, but becomes inoperative when it records more than 12 gamma rays in any second. registers more than 12 gamma rays in any second. a) Describe the random variable and its probability distribution function. b) Calculate the probability that the instrument becomes inoperative at any given second. second. c) Calculate the probability that the instrument becomes inoperative after 60 seconds of measurement. of measurement. Indicate which assumptions about the instrument you had to make.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The number of gamma rays emitted per second by a certain radioactive substance is a random variable whose average is 5.8 rays per second.
random variable whose average is 5.8 rays per second. In each second, a recording instrument measures the amount of gamma rays
measures the number of gamma rays of the substance, but becomes inoperative when it records more than 12 gamma rays in any second.
registers more than 12 gamma rays in any second.
a) Describe the random variable and its probability distribution function.
b) Calculate the probability that the instrument becomes inoperative at any given second. second.
c) Calculate the probability that the instrument becomes inoperative after 60 seconds of measurement.
of measurement. Indicate which assumptions about the instrument you had to make.

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