PLEASE SHOW ALL THE STEPS. THANKS YOU!!! You\'re a radar engineer working on an

Question

PLEASE SHOW ALL THE STEPS. THANKS YOU!!!

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, (adapted from [Mendenhall and Syndic 2016], exercise 3.79). What is the probability that the test occurred during rainy conditions? What is the probability that the test occurred in a missed intruder? What is the probability that it was either clear or windy during the test? Given that the test resulted in a detected intruder, what was the probability that the weather conditions were snowy? Under cloudy conditions, what is the probability that the test resulted in a missed intruder?

Explanation / Answer

total number of tests =692

a)probabilty that test occurs during rainy season =232/692 = 0.33526

b)probabilty that test occurs in a missed intruder =25/692=0.036127

c)as clear or windy has total 21+195 test =216

hence probability =216/692=0.312139

d) probabilty =7/667 =0.010495

e)probabilty =6/234 =0.025641

clear cloudy rainy snowy windy Total detected 21 228 226 7 185 667 missed 0 6 6 3 10 25 total 21 234 232 10 195 692

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