Question

In: Statistics and Probability

Dr. Strangelove has created a device that predicts whether or not a missile has been launched....

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

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