In: Math
We plan to employ precision munitions. Please note the following features of the planned munitions
These munitions have a range error with mean zero and standard deviation of 25 meters, and the range error is normally distributed. The munitions have a bursting radius of 35 meters.Prior planning data has indicated that if one lands within 35 meters of a friendly person, that person is assumed to become a casualty. If the round lands more than 35 meters away, the person is assumed to be non-injured.Current rules of engagement call for no rounds to be aimed at a point closer than 125 meters from friendly personnel.We plan to fire as many as 150 rounds in support of the mission. Answer below:
1. If you fired 150 rounds, each exactly 125 meters away from a friendly position, what is the chance that no friendlies were injured