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For random variable X, use the following statistics to calculate its coefficient of skewness based on central moments.
E(X) = 3.940
E(X2) = 21.466
skew(X) = E[(X - )3] = 6.008
Suggested Answer: C
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24 comments · newest first
MI
Micaela
2 days ago
I prefer B) 0.060. It feels balanced.
IR
Irene
7 days ago
It seems to fit the skewness definition better.
RE
Reiko
12 days ago
Why C)?
IR
Irene
17 days ago
I’m leaning towards C) 0.415.
BO
Bobbye
22 days ago
I feel like A) -0.415 could be right.
MI
Micaela
28 days ago
I think it's about understanding the moments.
RE
Reiko
1 month ago
This question is tricky!
HU
Hubert
1 month ago
I guess I’ll go with B) 0.060. It feels safer.
OZ
Ozell
1 month ago
But what if it’s positive? That changes the interpretation!
JO
Joanna
2 months ago
Exactly! A negative skew means a longer left tail.
PE
Peggie
2 months ago
It shows the asymmetry of the distribution. Very useful!
HU
Hubert
2 months ago
I’m confused about the moments. Why is skewness important?
OZ
Ozell
2 months ago
I’m leaning towards C) 0.415. It seems to fit the data better.
JO
Joanna
2 months ago
I think the answer is A) -0.415. It feels right based on the skewness formula.
PE
Peggie
2 months ago
This question is tricky! I feel unsure about the calculations.
MI
Michael
3 months ago
Did anyone double-check those moments? Just to be sure!
EM
Emogene
3 months ago
Totally agree with C! Looks right to me.
AS
Asuncion
3 months ago
Wait, how can it be positive? That seems off.
MA
Malcom
3 months ago
I think it’s definitely option C, 0.415.
AN
Anglea
3 months ago
The skewness is calculated using central moments, right?
JA
Jacqueline
4 months ago
I feel like I might be leaning towards option C, but I really need to double-check my calculations before committing to an answer.
BR
Brinda
5 months ago
I think I need to use the third central moment in the calculation, but I'm a bit confused about how to find it from the given statistics.
ME
Melissa
5 months ago
This question seems similar to the practice problems we did last week, but I can't recall the exact formula for the coefficient of skewness.
DE
Devon
5 months ago
I remember we discussed skewness in class, but I'm not entirely sure how to apply the central moments here.