A fire-detection device uses three temperature-sensitive cells acting independently of one another in such a manner that

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A fire-detection device uses three temperature-sensitive cells acting independently of one another in such a manner that any one or more can activate the alarm. Each cell has a probability p = .8 of activating the alarm when the temperature reaches 100°F or higher. Let x equal the number of cells activating the alarm when the temperature reaches 100°F.

a. Find the probability distribution of x.

b. Find the probability that the alarm will function when the temperature reaches 100°F.

c. Find the expected value and the variance for the random variable x.

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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Introduction To Probability And Statistics

ISBN: 9780495389538

13th Edition

Authors: William Mendenhall, Robert J. Beaver, Barbara M. Beaver

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