Three radar sets, operating independently, are set to detect any
aircraft
flying through a certain area. Each set has a probability of 0.04
of
failing to detect a plane in its area.
Consider one of the radar sets. What is the probability that it
will
correctly detect exactly three aircraft before it fails to detect
one, if
aircraft arrivals are independent single events occurring at
different
times? (Round your answer to four decimal places.)
probability that it will
correctly detect exactly three aircraft before it fails to detect
one
=P(three success and then one failure) =(1-0.04)^3*0.04 =0.0354
Three radar sets, operating independently, are set to detect any aircraft flying through a certain area....
Three radar stations, operating independently, are set to detect any aircraft flying through a certain area. Each station has a probability of 0.85 of detecting a plane in its area. If an aircraft enters the area, a. what is the probability that it is detected by all three radar stations? b. what is the probability that the plane is not detected by any of the radar stations? c. what is the probability that the plane is detected by only one...
The probability that a single radar station will detect an enemy plane is 0.65. (a) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station? stations (b) If five stations are in use, what is the expected number of stations that will detect an enemy plane? (Round your answer to one decimal place.) stations ---- The Denver Post reported that a recent Audit of Los Angeles...
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