Approximately 25% of smokers have lung cancer.Lung cancer screening by MRI has a sensitivity of 70% and a specificity of 90%.What is the probability that a smoker has lung cancer given that she just had a positive test?

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Approximately 25% of smokers have lung cancer.Lung cancer screening by MRI has a sensitivity of 70% and a specificity of 90%.What is the probability that a smoker has lung cancer given that she just had a positive test?