Consider the following discrete probability mass function. X 0 P(X= x) 3 0.25 1 0.30 Find P(1 < X < 3). Round to two decimal places. -1 0.45
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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.If the probability P (a < x < b ) = 0.0395 for the function Y = 3 X 2 and a = 0.15, find the value of b. 0.54 0.35Prob-2 The diameter of metal cylinder has a probability density function of f(x)=1.5-6(x-50.0)² [mm] 500 metal cylinders delivered to engine assembely plant... How many cylinders' diameters, D< 50.0 mm ? Sol:
- P(1.15 < Z < 2.77) =The graph attached is the uniform probability density function for a friend who is x minutes late. Find the probability that the friend is between 5 and 30 minutes late.The equation below estimates the effect of race on the probability of mortgage denial, holding constant the payment-to-income ratio. Pr (deny=1|P/I ratio, black) =(-2.29+2.78P/I ratio +0.71 black) (0.16) (0.46) (0.087) A black mortgage applicant has a P/l ratio of 0.38. What is the predicted probability that his application will be denied? The predicted probability that his application will be denied is%. (Express your response as a percentage and round to two decimal places)