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Mathematics, 20.03.2020 16:46 AdoNice

A fire-detection device utilizes three temperature-sensitive cells acting independently of each other in such a manner that any one or more may activate the alarm. Each cell possesses a probability of p = 0.88 of activating the alarm when the temperature reaches 100° Celsius or more. Let Y equal the number of cells activating the alarm when the temperature reaches 100°. (Round your answers to four decimal places.)

a) find the probability distribution for Y.
b) find the probability that the alarm will function when the temperature reaches 100 degree.

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