1. A military unit wants to pass through a forested area, but wants to check the area for possible enemy troops first. A team of specialists will place 15 motion sensors throughout the area. Each sensor has a probability of 0.95 of operating for a 24-hour period. The sensors operate and fail independently. At least 14 of the sensors must operate for the entire 24-hour period in order to for the motion-detection operation to be considered a success. What is the probability that the operation is successful? a. b. How many sensors are expected to operate for the 24-hour period?

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1. A military unit wants to pass through a forested area, but wants to check the area for possible enemy troops first. A team of specialists will place
15 motion sensors throughout the area. Each sensor has a probability of 0.95 of operating for a 24-hour period. The sensors operate and fail
independently. At least 14 of the sensors must operate for the entire 24-hour period in order to for the motion-detection operation to be considered a
success.
What is the probability that the operation is successful?
a.
b.
How many sensors are expected to operate for the 24-hour period?
Transcribed Image Text:1. A military unit wants to pass through a forested area, but wants to check the area for possible enemy troops first. A team of specialists will place 15 motion sensors throughout the area. Each sensor has a probability of 0.95 of operating for a 24-hour period. The sensors operate and fail independently. At least 14 of the sensors must operate for the entire 24-hour period in order to for the motion-detection operation to be considered a success. What is the probability that the operation is successful? a. b. How many sensors are expected to operate for the 24-hour period?
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