Expected value exercises1. What's the expectatise eandom variable that ace truavalues from -3 to 3 with probabilities set by PMF:X-3-2-1131/141/71/72/72/71/14Enter the irreducible fraction below (e.g., 13/28):Enter answer here

Answered: Image /qna-images/answer/90909688-294d-4014-ae1a-dfd648732be0.jpg

Answered: Expected value exercises 1. What's the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 5E

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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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Expected value exercises 1. What's the expectatitre exandom variable that ace lhuavalues from -3 to 3 with probabilities set by PMF: X -3 -2 -1 2 3 P 1/14 1/7 1/7 2/7 2/7 1/14 Enter the irreducible fraction below (e.g., 13/28): Enter answer here