Question: 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 country is \(\mu =\text{39}\text{.7}\) ?years with a standard deviation of \(\sigma =\text{12}\text{.4}\). A statistician randomly selects a sample of n = 16 people who are currently serving on juries. The average age for the individuals in the sample is M = 48.9 years.

What is the probability of obtaining a random sample of n = 16 jurors with an average age greater than or equal to 48.9?