Need help with unanswered portions "Time headway" in traffic flow is the elapsed time between the time that one car finishes passing a fixed point and the instant that the next car begins to pass that point. Let X = the time headway for two randomly chosen consecutivecars on a freeway during a period of heavy flow (sec). Suppose that in a particular traffic environment, the distribution of time headway has the following form.kx > 1f(x)10X < 1(a) Determine the value of k for which f(x) is a legitimate pdf.9.(b) Obtain the cumulative distribution function.x > 1F(x) =x < 1(c)Use the cdf from (b) to determine the probability that headway exceeds 2 sec. (Round your answer to four decimal places.)Use the cdf from (b) to determine the probability that headway is between 2 and 3 sec. (Round your answer to four decimal places.)

Answered: Image /qna-images/answer/c79f46fd-01b4-41a9-9510-75c59b99949e.jpg

OObtain the cumulative distribution function. x > 1 F(x) xs1 OUse the cdf from (b) to determine the probability that headway exceeds 2 sec. (Round your answer to four decimal places.) Use the cdf from (b) to determine the probability that headway is between 2 and 3 sec. (Round your answer to four decimal places.)

OObtain the cumulative distribution function. x > 1 F(x) xs1 OUse the cdf from (b) to determine the probability that headway exceeds 2 sec. (Round your answer to four decimal places.) Use the cdf from (b) to determine the probability that headway is between 2 and 3 sec. (Round your answer to four decimal places.)

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...

See similar textbooks

Similar questions

If she walk in 2.5 seconds 12.5 how many she can walk in 90 seconds
11. 7 in. 3 in 4 in.
HOW MUCH ARE CORPORATE TAXES
Find the missing legnths
Let f(x) represent the total number of items a subject has memorized r hours after being presented with a long list of items to learn. Psychologists refer to the graph of y = f(x) as a learning curve and to f'(x) as the learning rate. Suppose that the learning rate is 10. 1.2 f(r) = -0.06r2+ +1 a. Find an equation for the learning curve with nothing memorized at the beginning. 1 of
The accompanying table shows the results of a survey in which 250 male and 250 female workers ages 25 to 64 were asked if they contribute to a retirement savings plan at work. Complete parts (a) and (b) below. Click the icon to view the survey results. (a) Find the probability that a randomly selected worker contributes to a retirement savings plan at work, given that the worker is male. The probability that a randomly selected worker contributes to a retirement savings plan at work, given that the worker is male, is (Round to three decimal places as needed.) (b) Find the probability that a randomly selected worker is female, given that the worker contributes to a retirement savings plan at work. The probability that a randomly selected worker is female, given that the worker contributes to a retirement savings plan at work, is (Round to three decimal places as needed.)
2 cm2 = ……. m1 100 m3 = ……. cm3
Find x. 5. N. M. 35 Ob. 15 7. Oc. 5 a. 9 3 7,
Ms. Silva earns 19$ per hour. She earns 20,710$ this year. How many hours deos ma. Silva work this year?
Image.....