How can I solve this question 6.14? 6.14. An ambulance travels back and forth at a constant speed alonga road of length L. At a certain moment of time, an accident occursat a point uniformly distributed on the road. [That is, the distance ofthe point from one of the fixed ends of the road is uniformlydistributed over (0, L).] Assuming that the ambulance's location at themoment of the accident is also uniformly distributed, and assumingTMindependence of the variables, compute the distribution of thedistance of the ambulance from the accident.

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Answered: 6.14. An ambulance travels back and…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Let X1, . . . , Xn ∼ iid Unif(0, θ). (a) Derive an asymptotic distribution for the MOM estimator ˜θ = 2X¯ of the form.(b) From this choose an approximate pivot and interval to get an interval that asymptotically has100(1 − α)% coverage.
A CI is desired for the true average stray-load loss ? (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with ? = 2.2. (Round your answers to two decimal places.) (a) Compute a 95% CI for ? when n = 25 and x = 53.7. , watts(b) Compute a 95% CI for ? when n = 100 and x = 53.7. , watts(c) Compute a 99% CI for ? when n = 100 and x = 53.7. , watts(d) Compute an 82% CI for ? when n = 100 and x = 53.7. , watts(e) How large must n be if the width of the 99% interval for ? is to be 1.0? (Round your answer up to the nearest whole number.)n = You may need to use the appropriate table in the Appendix of Tables to answer this question.
Suppose that the weight of an newborn fawn is Uniformly distributed between 2.5 and 3.7 kg. Suppose that a newborn fawn is randomly selected. Round answers to 4 decimal places when possible. f. P(x > 3 | x < 3.5) =
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13. A line was determined to be 2395.25m when measured with a 30-m steel tape supported throughout its length under a pull of 4 kg and at a mean temperature. Determine the correct length of the line if the tape used is of standard length at 20°C under a pull of 5kg. The cross-sectional area of the tape is 0.03 sq.cm, its coefficient of linear expansion is 0.0000116/1°C, and the modulus of elasticity of steel is 2.0 x 106 kg/cm2. Prepar
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A pharmcuticle company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of Mercury) for 9 patients before taking the new drug and 2 hours after taking the drug are shown in the table below. is there enough evidence support the company's claim? Let D =(blood pressure before taking new drug)- (blood pressure after taking new drug).use significant levels of a=their 0.05 for the test. Assume that the systolic blood pressure levels are normally distributed for the population of patience both Before & After taking the new drug. 1.State the null and alternative hypothesis for the test. 2. Find the value of the standard deviation of the paired differences. Round to one decimal place. 3.compute the value of the test statistic. Round to three decimal places 4.determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion to three decimals. 5.make decision for the hypothesis test.
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