Basic Statistics20795 marksNumerical: probability of union eventsBasic probability concepts and rules
A new computer virus can enter the system through e-mail or through the internet. There is a 30% chance of receiving this virus hrough e-mail. There is a 40% chance of receiving it through the internet. Also, the virus enters the system simultaneously through e-mail and the internet with probability
A new computer virus can enter the system through e-mail or through the internet. There is a 30% chance of receiving this virus hrough e-mail. There is a 40% chance of receiving it through the internet. Also, the virus enters the system simultaneously through e-mail and the internet with probability 0.15. What is, the probability that the virus does not enter the system at all? [5]
- $P(E)$ = probability virus enters through e-mail = $0.30$ - $P(I)$ = probability virus enters through internet = $0.40$ - $P(E \cap I)$ = probability virus enters through both simultaneously = $0.15$ Step 1: Probability that the virus enters the system The virus enters if it arrives through e-m...