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 = 0.71 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°.

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 = 0.71 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°.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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