Generate Sample from Exponentially modified Normal distribution

For Generate Random Sample, the exponentially modified Normal distribution can be defined as the sum of a Normal deviate with mean (μ) and variance (σ²) and an independent exponential deviate with mean τ. The mean is equal to μ+τ, and its variance is σ²+τ². The distribution is skewed to the right by (τ/σ)³(1 + (τ/σ)²)^-3/2.