10 x≤1 (a) Find the value of k. (b) Obtain the mean value of headway and the standard deviation of headway. (c) The cdf of X is F(x)= fo 1- #≤1 z>1 Using the cdf, determine the following probabilities. (i) What is the probability that observed depth is at most 3? (ii) What is the probability that observed depth is between 3 and 2?
10 x≤1 (a) Find the value of k. (b) Obtain the mean value of headway and the standard deviation of headway. (c) The cdf of X is F(x)= fo 1- #≤1 z>1 Using the cdf, determine the following probabilities. (i) What is the probability that observed depth is at most 3? (ii) What is the probability that observed depth is between 3 and 2?
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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Transcribed Image Text:Question 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 be the time headway for two randomly chosen
consecutive cars (in seconds). Suppose X has pdf
f(x)=
Ja> 1
To x ≤ 1
(a) Find the value of k.
(b) Obtain the mean value of headway and the standard deviation of headway.
(c) The cdf of X is
F(x) =
{:.
x ≤ 1
1- x>1
Using the cdf, determine the following probabilities.
(i) What is the probability that observed depth is at most 3?
(ii) What is the probability that observed depth is between 3 and 2?
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