Please help me with this questions. thank you! C1) For a random variable X we can define its cumulative distribution function√x (x) = P(X≤ x) for all x ERCCCCCCGWrite down the properties of the c-d-f of Flet x has the c.d.fFx (x) =0,ó x100-IN X100+हे,-100+ ½/2₁Plot the cd.f and find P(x²2 (x>0).x<00

Given the CDF of the random variable X as

Answered: 1) For a random variable X we can…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 43CR

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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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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.
Repeat Example 1a for the function f(x)=2x2 on [1,2]. What is the probability that X will be between 32 and 2?

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1) For a random variable X we can define its cumulative distribution function as Ex(x) = P(Xx) for all x ER Write down the properties of the c.d.f of f let x has the c.d.f Fx (x) Ō *100 -IN kloo + NL Plot the cd.f and find P(x²2 (x>0). x < 0 0