Movie trailers are designed to entice audiences by showing scenes from coming attractions. Several trailers are usually shown in a theatre before the start of the main feature, and most are available via the Internet. The duration of a movie trailer is approximately Normal, with mean 150 seconds and standard deviation 30 seconds.

(d) In a sample of 16 randomly selected movie trailers, find the probability that the sample mean duration is greater than 3 minutes and 30 seconds. (3 points)