Let X∼N(μ,σ2)X \sim N(\mu, \sigma^2)X∼N(μ,σ2). Find the fourth central moment E[(X−μ)4]E[(X-\mu)^4]E[(X−μ)4].
3σ43\sigma^43σ4
0
15σ415\sigma^415σ4
σ4\sigma^4σ4