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 = 0.85of 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 decimalplaces.)(a) Find the probability distribution for Y.P(Y = 0) =P(Y = 1) =P(Y = 2) =P(Y = 3) =(b) Find the probability that the alarm will function when the temperature reaches 100°.

Given that: The sample size is n=3. The probability is p=0.85. Y can take values from 0 to 3.

Answered: A fire-detection device utilizes three…

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 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 = 0.86 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. P(Y = 0) = P(Y = 1) = P(Y = 2) = P(Y = 3) = (b) Find the probability that the alarm will function when the temperature reaches 100°.
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