Q2. The duration of a construction activity was estimated to be in the range [2, 6] days with a most likely duration of 4 days. A construction engineer used the following symmetric density function to model the duration: fx(x) = for 2 ≤ x ≤ 4 for 4 ≤ x ≤ 6 2-12 Determine the (a) mean, (b) variance, (c) standard deviation, (d) coefficient of variation, and (e) skewness.
Q2. The duration of a construction activity was estimated to be in the range [2, 6] days with a most likely duration of 4 days. A construction engineer used the following symmetric density function to model the duration: fx(x) = for 2 ≤ x ≤ 4 for 4 ≤ x ≤ 6 2-12 Determine the (a) mean, (b) variance, (c) standard deviation, (d) coefficient of variation, and (e) skewness.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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![Q2. The duration of a construction activity was estimated to be in the range [2, 6] days with a most likely
duration of 4 days. A construction engineer used the following symmetric density function to model the
duration:
fx(x) =
12
8
12
X
12'
for 2 ≤x≤4
for 4 ≤x≤6
Determine the (a) mean, (b) variance, (c) standard deviation, (d) coefficient of variation, and (e)
skewness.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F09f7f533-d4af-4401-a50a-ccb3ef26e16d%2Ff8965670-2b92-4004-ad4a-413f1d13bed9%2Ffh7xbzg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q2. The duration of a construction activity was estimated to be in the range [2, 6] days with a most likely
duration of 4 days. A construction engineer used the following symmetric density function to model the
duration:
fx(x) =
12
8
12
X
12'
for 2 ≤x≤4
for 4 ≤x≤6
Determine the (a) mean, (b) variance, (c) standard deviation, (d) coefficient of variation, and (e)
skewness.
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