Question

For a distribution the mean is 10. Variance is 16, R is 1 and beta2 is 4. Obtain the first four moment about the the origin. comment nature of the distribution the​

Answer 1

Answer:

Mean= m =10, variance = my 16, coefficient of skewness=y=+1. coefficient of kurtosis is B₂ = 4₁

First moment about the origin is

Mean= m; 10.

Next,

Variance = m₂ = 16² (2)².

m₂ +pi Variance +

= 16+10=116

Second moment about the origin is

Coefficient of skewness is +1:

m² = 16 = 64

m²

Coefficient of kurtosis is 4:

4m₂ 4(16)* = 1024

Third moment about the origin is

m² = m +3m₂m²; +m₁² = 64 +3(16)(10)+10³=1544

Fourth moment about the origin is

m² = m₂ + 4m₁m₂ + 6mm +m₁ = 1024 + 4(64) (10) + 6(16)10² + 10 = 23184

It is a positively skewed distribution