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)
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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.
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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