Discussion:
Your mail-order company advertises that it ships 90% of its orders within three working days. You select a simple random sample of 100 of the 5000 orders received in the past week for an audit. The audit reveals that 86 of these were shipped on time. If the company really ships 90% of its orders on time, what is the probability that 86 or fewer in a simple random sample of 100 orders are shipped on time?