The probability of the closing of the ith relay in the circuits shown is given by pi.Let P₁= 0.6, P2=0.1, pa=0.5, pa=0.7, Ps= 0.3.If all relays function independently, what is the probability P that a current flows between A and B for the respective circuits?(b)(a) P= 0.1167(b) P 0.5156eB

Current will flow from A to B if any one of the circuit is closedFor part a, there are 2 possible…

Answered: The probability of the closing of the…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 41E

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Eastern Hemlock Ring shake, which is the separation of the wood between growth rings, is a serious problem in hemlock trees. Researchers have developed the following function that estimates the probability P that a given hemlock tree has ring shake: P(A,B,D)=11+e3.680.016A0.77B0.12D where A is the age of the tree yr, B is 1 if bird pecking is present and 0 otherwise, and D is the diameter in. of the tree at breast height. Source: Forest Products Journal. a. Estimate the probability that a 150-year-old tree with bird pecking present and a breast height diameter of 20in., will have ring shake. b. Estimate the probability that a 150-year-old tree, with no presence of bird pecking and a breast height diameter of 20in., will have ring shake. c. Develop a statement about what can be said about the influence have on the probability of ring shake. d. Using the total differential, estimate the probability if the actual age of the tree was 160 years and the diameter at breast height was 25in., Assume that no bird pecking was present. Compare your answer to the actual value. Hint: Assume that B=0 and exclude that variable from your calculations e. Comment on the practicality of using differentials in part d.

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The probability of the closing of the ith relay in the circuits shown is given by pi. Let P₁= 0.6, p2=0.1, pa=0.5, pa=0.7, Ps= 0.3. If all relays function independently. what is the probability P that a current flows between A and B for the respective circuits? (b) (a) P= 0.1167 (b) P=0.5156 e B