You're a radar engineer working on an unmanned system to detect intruders in real time without spurious detections, both indoors and outdoors, using video cameras and microprocessors. The system was tested outdoors under various weather conditions near Barnsdall, OK. The numbers of intruders detected and missed under each condition are provided in the table below. One test result was chosen at random. a. What is the probability that the test occurred during rainy conditions? b. What is the probability that the test occurred in a missed intruder? c. What is the probability that it was either clear or windy during the test? d. Given that the test resulted in a detected intruder, what was the probability that the weather conditions were snowy? e. Under cloudy conditions, what is the probability that the test resulted in a missed intruder? Intruders detected Intruders missed Clear 21 0 Cloudy 228 6 Rainy 226 6 Snowy 7 3 Windy 185 10

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