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Sedaia [141]
3 years ago
5

"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 consecutive cars 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.f(x) = k/(x^7) ; x > 1 0 ; x<1a) Determine the value of K for which f(x) is a legitimate pdfb) Obtain the cumulative distribution functionF(x) = [ Blank ] ; x > 1 0 ; x < 1c) Use the cdf from (b) to determine the probability that headway exceeds 2 sex. (Round your answer to three decimal places.)Use the cdf from (b) to determine the probability that headway is between 2 and 3 sec (round your answer to three decimal places)d) Obtain the mean value of headway and the standard deviation of headway. (Roun to nearest 3 decimal places)mean [ blank ]standard deviation [ blank ]e) what is the probability that headway is within 1 standard deviation of the mean value

Mathematics
1 answer:
marysya [2.9K]3 years ago
8 0

Answer:

Detailed explanation of the answer is given in the attached files. Please have a look.

Step-by-step explanation:

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Answer:

121.7

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A line passes through the given points. write an equation for the line in point-slope form. then rewrite the equation in slope i
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plug it in to point slope and get: y+8=-13/5(x-3)

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point slope form: y-2=3/4(x-3)

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7 0
3 years ago
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Answer:

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4 0
2 years ago
What is the answer to this problem
irina1246 [14]

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We need to see the system of equations.

Step-by-step explanation:

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