nwer t8 the nearest dollar.) 10. A police force has two young canines in trainin
ID: 3057374 • Letter: N
Question
nwer t8 the nearest dollar.) 10. A police force has two young canines in training (Jimmy and Sally) that they plan to use to check packages for illegal substances. The canines check the packages independently If an illegal substance is present, Jimmy accurately detects the presence of the substance with probability 0.65 and Sally accurately detects the presence of the substance with probability 0.75. a) (3 points) Find the probability that the substance will be detected by at least one of the canines if it is present in a package. (Round your answer to four decimal places.) b) (3 points) Find the probability that the substance will not be detected by either of the canines if it is present in a package. (Round your answer to four decimal places.)Explanation / Answer
a)P(substabce detectd by at least one of them) =1-P(nne of them detect it)= 1-(1-0.65)*(1-0.75)=0.9125
b) P(substance will not be detected by either of them) =1-P(substabce detectd by at least one of them) =1-0.9125
=0.0875
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