aerosol size distribution were taken. Size interval (µm) Geometric mean of size interval (um) Number of particles in interval 0.1-0.2 0.1414 50 0.2-0.4 0.2828 460 0.4-0.7 0.5292 1055 0.7-1.0 0.8367 980 1.0-2.0 1.414 1705 2.0-4.0 2.828 680 4.0-7.0 5.292 102 7.0–10 8.367 10 10-20 14.14 Assume that the particles are spheres with density p,=1.5g cm. a. Determine the geometric mean diameter and geometric standard deviation of the lognormal distribution to which these data adhere.
aerosol size distribution were taken. Size interval (µm) Geometric mean of size interval (um) Number of particles in interval 0.1-0.2 0.1414 50 0.2-0.4 0.2828 460 0.4-0.7 0.5292 1055 0.7-1.0 0.8367 980 1.0-2.0 1.414 1705 2.0-4.0 2.828 680 4.0-7.0 5.292 102 7.0–10 8.367 10 10-20 14.14 Assume that the particles are spheres with density p,=1.5g cm. a. Determine the geometric mean diameter and geometric standard deviation of the lognormal distribution to which these data adhere.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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
Transcribed Image Text:aerosol size distribution were taken.
Size interval (um)
Geometric mean of size interval (um)
Number of particles in interval
0.1-0.2
0.1414
50
0.2-0.4
0.2828
460
0.4-0.7
0.5292
1055
0.7-1.0
0.8367
980
1.0-2.0
1.414
1705
2.0-4.0
2.828
680
4.0-7.0
5.292
102
7.0-10
8.367
10
10-20
14.14
2
Assume that the particles are spheres with density Pp =1.5g cm
m-3.
a. Determine the geometric mean diameter and geometric standard deviation of the
lognormal distribution to which these data adhere.
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