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    The graph shows relationship between smoking intensity and probability of getting lung cancer in a population. Which one of the following inferences i
    Question

    The graph shows relationship between smoking intensity and probability of getting lung cancer in a population. Which one of the following inferences is supported by the study?

    A.

    Smoking always causes lung cancer.

    B.

    People have healthy lungs if they don't smoke.

    C.

    Smoking intensity is not directly proportional to the probability of getting lung cancer.

    D.

    High intensity smokers will get the lung cancer.

    Correct option is C

    Solution:
    From the graph:​

    As smoking intensity (cigarettes/day) increases, the probability of lung cancer increases.

    However, the curve flattens as smoking increases, meaning the probability doesn't rise linearly (not a straight line).

    This indicates non-linear or not directly proportional relationship.

    Thus, smoking intensity is not directly proportional to probability — the increase is slower after a point.

    Hence, the correct answer is (c) Smoking intensity is not directly proportional to the probability of getting lung cancer.

    Trick to Remember:

    In direct proportionality, the graph must be a straight line.

    Here, it bends and flattens not direct proportionality!

    Information Booster:

    "Directly proportional" means if smoking doubles, probability should double — but here, doubling cigarettes doesn't double the risk exactly.

    Risk increases but not at a fixed constant rate.

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