6. 3/6 points | Previous Answers HHCalcCustom1 8.8.008. My Notes Ask Your Teache

Question

6. 3/6 points | Previous Answers HHCalcCustom1 8.8.008. My Notes Ask Your Teacher An experiment was done observing the time gaps between successive cars on a freeway. The data show that the density function of these time gaps was given approximately by p(x)ae-0.128x where x is the time in seconds and a is a constant. (a) Find a a-.128 (b) Find P, the cumulative distribution function P(x)-1 . 128e -128x (c) Find the median and mean time gap. (Round your answers to two decimal places.) median5.42 mean 5.40 sec x sec

Explanation / Answer

here as it is exponential distirbution

a) a =0.128

b) P(x) =1-e-0.128x

c)

median =ln(2)/0.128 =5.42

mean =1/0.128 =7.81

please revert fr any clarification

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