The second moment about mean of symmetrical distribution is 3.5. What must be the value of fourth moment about mean in order distribution will be lepto kurtic?
The second moment about mean of symmetrical distribution is 3.5. What must be the value of fourth moment about mean in order distribution will be lepto kurtic?
Explanation
For a leptokurtic distribution, β₂ > 3:
β₂ = μ₄ / μ₂² > 3
Given μ₂ = 3.5:
μ₄ / (3.5)² > 3
μ₄ > 3 × 12.25
μ₄ > 36.75