In: Statistics and Probability
Dr. Strangelove has created a device that predicts whether or not a missile has been launched. Given that a missile has been launched, the device will correctly report that a missile has been launched 95 percent of the time. Given that a missile has not been launched, there is a 2 percent chance that the device will incorrectly report that a missile has been launched. There is a 1 percent chance that a missile will be launched. What is the probability that the device will indicate that a missile has been launched?
a. 0.293
b. 0.324
c.0.675
d. 0.971
e. 0.016