In each case, determine the value of the constant c that makes the probability statement correct. (Round your answers to two decimal places.) USE SALT (a) (c)= 0.9834 2.12 x You may have rounded in the wrong direction. (b) P(0 ≤ Z ≤ c) = 0.3106 0.88 (c) P(cs Z) = 0.1335 -1.12 x (d) P(-c sz s c) = 0.6424 0.92 (e) P(cs |Z|) = 0.0128 0.016 X
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- Repeat Example 1a for the function f(x)=2x2 on [1,2]. What is the probability that X will be between 32 and 2?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.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)
- The probability that the return will be below X% is approx. 0.16. What is the value of X for Stock A? For Stock B?You are given the probability that an event will not happen. Find the probability that the event will happen. P(E') = 0.81In each case, determine the value of the constant c that makes the probability statement correct. (Round your answers to two decimal places.) n USE SALT (a) (c) = 0.9821 (b) P(0 SZSC) = 0.2881 %3D (c) P(c sZ) = 0.1190 (d) P(-c sz sc) = 0.6424 (e) P(c s |Z|) = 0.0128 You may need to use the appropriate table in the Appendix of Tables to answer this question.
- 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) = 0(-2.21 + 2.73P/I ratio + 0,75black) %3! (0.16) (0.45) (0.085) A black mortgage applicant has a PA ratio of 0.39. What is the predicted probability that his application will be denied? The predicted probability that his application will be denied is 34.64 %. (Express your response as a percentage and round to two decimal places) o Suppose that the applicant reduced this ratio to 0.31. What effect would this have on his predicted probability of being denied a mortgage? The predicted probability of being denied a mortgage would decrease by 7.67 percentage points. (Round your response to two decimal places) ck A white mortgage applicant has a P/I ratio of 0.36. What is the predicted probability that his application will be denied? on The predicted probability that his application wil be denied is%. ory (Express your response…The power reflected from an aircraft received by a radar is described by an exponential distribution. The pdf is given by fx(x): 1 -x/10 e x > 0. The average power is 10 W. What is = - 10 the probability that the received power is greater than the average power?In each case, determine the value of the constant c that makes the probability statement correct. (Round your answers to two decimal places.) USE SALT (a) (c) = 0.9834 3.4 X (b) P(0 ≤Z ≤ c) = 0.3133 (c) P(CZ) = 0.1190 (d) P(-c ≤ Z ≤ c) = 0.6372 (e) P(c≤ |Z|) = 0.0128
- In each case, determine the value of the constant c that makes the probability statement correct. (Round your answers to two decimal places.) (a) (c) = 0.9830 (b) P(0 SZ s c) = 0.2967 (c) P(c s Z) = 0.1170 (d) P(-c s z sc) = 0.6424 (e) P(c s IZ|) = 0.0128If 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 0.35In each case, determine the value of the constant c that makes the probability statement correct. (Round your answers to two decimal places.) (a) Φ(c) = 0.9846(b) P(0 ≤ Z ≤ c) = 0.2995(c) P(c ≤ Z) = 0.1335