A certain type of tree has seedlings randomly dispersed in a large area, with the mean density of seedlings being approximately three per square yard. If the seedlings are randomly dispersed, the number of seedlings per region, can be modelled as a Poisson random variable. If a forester randomly locates ten 1-square-yard sampling regions in the area, the probability that none of the regions will contain seedlings is 0.0498.

1. If the seedlings really are randomly dispersed, the number of seedlings per region, , can be modelled as a Poisson random variable with = 3. Interpret = 3.

2. State the moment generating function of the random variable .