4. ) Engineers recorded the number of vehicles arriving along a Gentilly street for each of 180 30-sec intervals. The data are given below. a. Using the Poisson distribution, find the probability that exactly 5 vehicles will pass during a random 30-sec interval. b. Using the Exponential Distribution, estimate the percentage of a randomly chosen group of gaps that will be greater than 20 sec. Number of Cars per Observed Frequency, fi Total cars Observed Interval Xi fX 10 1 24 24 2 45 90 3 33 99 4 29 116 15 75 7. 42 7 11 77 4 32 >9 18 180 573

4. ) Engineers recorded the number of vehicles arriving along a Gentilly street for each of 180 30-sec intervals. The data are given below. a. Using the Poisson distribution, find the probability that exactly 5 vehicles will pass during a random 30-sec interval. b. Using the Exponential Distribution, estimate the percentage of a randomly chosen group of gaps that will be greater than 20 sec. Number of Cars per Observed Frequency, fi Total cars Observed Interval Xi fX 10 1 24 24 2 45 90 3 33 99 4 29 116 15 75 7. 42 7 11 77 4 32 >9 18 180 573

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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Concept explainers

Mapping

Mapping is the process of representing the surface of the earth, objects on it, and the relative positions of the objects, to a suitable scale. In mapping, a large area of land is measured, surveyed, and plotted. The details of the objects present in the nearby surrounding area are located using conventional signs. All these processes are carried out on a flat paper known as a map.

Question

)Engineers recorded the number of vehicles arriving along a
Gentilly street for each of 180 30-sec intervals. The data are given below.
a. Using the Poisson distribution, find the probability that exactly 5 vehicles
will pass during a random 30-sec interval.
b. Using the Exponential Distribution, estimate the percentage of a
randomly chosen group of gaps that will be greater than 20 sec.
Number of Cars per
Interval Xi
Observed Frequency, fi
Total cars Observed
fX
10
1
24
24
45
90
3
33
99
4
29
116
15
75
7.
42
7
11
77
4
32
>9
18
180
573
4.

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Table below shows the frequency of each speed collected from a rural highway segment. Caiculate the 85-percentile speed. Note: The 85-percentile speed is designed as the speed at or below which 85% of the traffic is travelling. Speed (MPH 25 Frequency 28 2 1 29 32 33 35 2 36 1 37 39 2 42 1 43 45 5 46 2 47 3 48 49 3 50 51 52 1 53 2 54 1 55 56 1 57 2 60 1 61 2 62 1 63 1 64 1 65 1 66 69
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