Assuming the vehicle arrivals were Poisson distributed, determine the following:a) the probability of no cars arriving in a l-minute periodb) the probability of exactly 10 vehicles arriving in a 1-minute periodc) the probability of more than 15 vehicles arriving in a 1-minute periodd) the probability that the headway between successive vehicles will be less than 6 seconds The following spot speeds (mph) were measured at a location along a two-lanehighway (for one direction only), over a period of 10 minutes.6958 62| 61585467695763606058545760716557636969595460675846535962545868665957645852616561535857654764546859596257666758646059596356626459576161585764706555634565577361676248625760715358606561676276714958

(a) Probability of no vehicle arriving in one minute as; P0=μxe-μx!=100e-100!P0=0.0000453…

Assuming the vehicle arrivals were Poisson distributed, determine the following: a) the probability of no cars arriving in a l-minute period b) the probability of exactly 10 vehicles arriving in a 1-minute period c) the probability of more than 15 vehicles arriving in a 1-minute period d) the probability that the headway between successive vehicles will be less than 6 seconds

Assuming the vehicle arrivals were Poisson distributed, determine the following: a) the probability of no cars arriving in a l-minute period b) the probability of exactly 10 vehicles arriving in a 1-minute period c) the probability of more than 15 vehicles arriving in a 1-minute period d) the probability that the headway between successive vehicles will be less than 6 seconds

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Assuming the vehicle arrivals were Poisson distributed, determine the following:
a) the probability of no cars arriving in a l-minute period
b) the probability of exactly 10 vehicles arriving in a 1-minute period
c) the probability of more than 15 vehicles arriving in a 1-minute period
d) the probability that the headway between successive vehicles will be less than 6 seconds

The following spot speeds (mph) were measured at a location along a two-lane
highway (for one direction only), over a period of 10 minutes.
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71
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58
46
53
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62
54
58
68
66
59
57
64
58
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61
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61
53
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47
64
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68
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57
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67
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62
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71
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58

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