# Bayes Theorem Calculations

Experience has shown a company that the cost of delivering a small package within 24 hours is $14.80. The company charges $15.50 for shipment but guarantees to refund the charge if delivery is not made within 24 hours. If

the company fails to deliver only 2% of its packages within the 24-hour period, what is the expected gain per package?

https://brainmass.com/statistics/bayesian-probability/bayes-theorem-calculations-7197

#### Solution Preview

Let X denote the gain of delivering a small package within 24 hours. Then X is a random variable, from the hypothesis, we ...

#### Solution Summary

Experience has shown a company that the cost of delivering a small package within 24 hours is $14.80. The company charges $15.50 for shipment but guarantees to refund the charge if delivery is not made within 24 hours. If

the company fails to deliver only 2% of its packages within the 24-hour period, what is the expected gain per package?