Let X∼Normal(μ,σ2)X \sim \text{Normal}(\mu, \sigma^2)X∼Normal(μ,σ2). If we define the transformation Y=exp(X)Y = \exp(X)Y=exp(X), what is the median of YYY?
eμe^{\mu}eμ
eμ+σ2/2e^{\mu + \sigma^2/2}eμ+σ2/2
eμ+σe^{\mu} + \sigmaeμ+σ
Undefined