The Bureau of Infrastructure, Transport, and Regional Economics' Domestic Airline On-Time Performance Reports identified that 83% of QANTAS Domestic flights arrived on time in July 2013 (http://www.qantas.com.au/travel/airlines/on-time-performance/global/en). Consider arrival times to be Normally distributed with a mean of -6 minutes (meaning that the aircraft arrives on average 6 minutes ahead of schedule) and standard deviation of 6 minutes.

a) Define the variable that is of interest as X

b)Complete the information, X ~ N (mean = , standard deviation = )

c)Use the Empirical Rule to estimate the probability that an aircraft arrives:

i. 6 minutes or more ahead of schedule

ii. before the scheduled time

iii. more than 6 minutes after the scheduled time

iv. between 6 and 12 minutes after the scheduled time