In the package delivery industry, the term mislaid refers to a package that is lost or delayed.
A consultancy report states that the mislaid package rate in a six month period was stable at 5.7
per 100,000 packages. Suppose that this rate holds for the next six months, and you forecast an
industry volume of one million packages per month. Let X be the number of mislaid packages next
month. Find the probability that there will be more than 70 mislaid packages next month. (Use a
suitable normal distribution approximation for the calculation.)