People are selected to serve on juries by randomly picking names from the list of registered voters.

The average age for registered voters in the county is μ = 44.3 years with a standard deviation of σ = 12.4.

A statistician computes the average age for a group of σ = 12 people currently serving on a jury and obtains a mean of M = 48.9 years.

a. How likely is it to obtain a random sample of n = 12 jurors with an average age equal to or greater than 48.9?

b. Is it reasonable to conclude that this set of n = 12 people is not a representative random sample of registered voters?