The length of human pregnancies from conception to birth varies according to distribution that is approximately normal with mean 266 days and standard deviation as 16 days.

1. What is the sampling distribution of 10 randomly chosen woman? ( X )

2. What is the provability that mean pregnancy for 10 randomly chosen woman exceeds 280 days.

(a) Write the problem as probability statement and find the probability.

(b) Write the R syntax you used.