1 The figure at the bottom of the page shows the probability density of colony diameters (in mm) in a hypothetical population of Paenibacillus bacteria. The distribution is continuous, so the probability of sampling a colony within some range of diameter values is given by area under the curve. Numbers next to the curve indicate the area of the region indicated in red. Consider the case in which a single colony is randomly sampled from the population. 0.4 0.4 0.3- 0.2- 0.1 246 8 10 12 14 IALA LALA 0.4- 0.48 0.3- 0.2- 0.1- 4 6 8 10 12 14 4 6 8 Colony diameter (mm) Colony diameter (mm) What is the probability that a randomly chosen diameter is greater than or equal to 10? 0.3- 0.14 0.2- 0.1 0- 0.4 0.3- 0.2- 0.1- 0 2 0.14 O 0.16 T 0 0 T 2 4 2 T 6 0.14 8 10 12 14 10 0.02 12 14

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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J
The figure at the bottom of the page shows the probability density of colony diameters (in mm) in a hypothetical population
of Paenibacillus bacteria. The distribution is continuous, so the probability of sampling a colony within some range of diameter
values is given by area under the curve. Numbers next to the curve indicate the area of the region indicated in red. Consider the
case in which a single colony is randomly sampled from the population.
0.4
0.3-
0.2-
0.1
246 8 10 12 14
ГИ
ИИ
0.4-
0.48
0.3-
0.2-
0.1-
4 6 8 10 12 14
4
Colony diameter (mm)
Colony diameter (mm)
What is the probability that a randomly chosen diameter is greater than or equal to 10?
0.4
0.3- 0.14
0.2-
0.1
0-
0.4
0.3-
0.2-
0.1-
0 0.14
0 0.16
0 0.02
0 0.84
2
Т
2
Т
2 4 6 8 10 12 14
0.14
Т
0.02
6 8 10 12 14
Transcribed Image Text:J The figure at the bottom of the page shows the probability density of colony diameters (in mm) in a hypothetical population of Paenibacillus bacteria. The distribution is continuous, so the probability of sampling a colony within some range of diameter values is given by area under the curve. Numbers next to the curve indicate the area of the region indicated in red. Consider the case in which a single colony is randomly sampled from the population. 0.4 0.3- 0.2- 0.1 246 8 10 12 14 ГИ ИИ 0.4- 0.48 0.3- 0.2- 0.1- 4 6 8 10 12 14 4 Colony diameter (mm) Colony diameter (mm) What is the probability that a randomly chosen diameter is greater than or equal to 10? 0.4 0.3- 0.14 0.2- 0.1 0- 0.4 0.3- 0.2- 0.1- 0 0.14 0 0.16 0 0.02 0 0.84 2 Т 2 Т 2 4 6 8 10 12 14 0.14 Т 0.02 6 8 10 12 14
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