P.v.g.g.g.f. In each case, determine the value of the constant c that makes the probability statement correct. (Round your answers to two decimal pla▪(a)2.15USE SALTΦ(c) = 0.9842(b) P(0 ≤ Z ≤ c) = 0.28810.80(c)P(cs Z) 0.1190=1.18(d) P(-c≤ Z ≤ c) = 0.65280.45X(e) P(cs |ZI) = 0.01282.49

d.)P(−c≤Z≤c)Note that:P(−c≤Z≤c)=P(Z≤c)−P(Z≤−c)P(Z≤c)−P(Z≤−c)=0.6528We have: We can then modify the…

Answered: In each case, determine the value of…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section: Chapter Questions

Problem 51RE: For the following exercises, assume two die are rolled. 51.What is the probability that a roll...

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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.
For the following exercises, assume two die are rolled. 48. What is the probability that a roll includes a 2?
For the following exercises, assume two die are rolled. 51.What is the probability that a roll doesn’t include a 2 or result in a pair?
Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.

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In each case, determine the value of the constant c that makes the probability statement correct. (Round your answers to two decimal pla▪ (a) 2.15 USE SALT Φ(c) = 0.9842 (b) P(0 ≤ Z ≤ c) = 0.2881 0.80 (c) P(cs Z) 0.1190 = 1.18 (d) P(-c≤ Z ≤ c) = 0.6528 0.45 X (e) P(cs |ZI) = 0.0128 2.49