1. An infantry platoon has 8 antitank rockets and no other weapons effective against tanks. It is defending against a tank platoon of 4 tanks. - The probability that an antitank rocket hit a tank within its range is 0.3 . - The probability that a tank is destroyed when an antitank rocket hits the tank is 0.6 . All the tanks are within the range of antitank rockets, and the platoon engages. a. What is the probability that a tank is destroyed when an antitank rocket is fired against the tank? b. What is the expected number of tanks destroyed in this combat? c. What is the expected number of tanks hit in this combat? d. What is the probability that the last tank is hit by the last rocket? e. What is the probability that there are two rockets left after the last tank is destroyed?

1. An infantry platoon has 8 antitank rockets and no other weapons effective against tanks. It is defending against a tank platoon of 4 tanks. - The probability that an antitank rocket hit a tank within its range is 0.3 . - The probability that a tank is destroyed when an antitank rocket hits the tank is 0.6 . All the tanks are within the range of antitank rockets, and the platoon engages. a. What is the probability that a tank is destroyed when an antitank rocket is fired against the tank? b. What is the expected number of tanks destroyed in this combat? c. What is the expected number of tanks hit in this combat? d. What is the probability that the last tank is hit by the last rocket? e. What is the probability that there are two rockets left after the last tank is destroyed