If p denotes proportion and q denotes odds then prove that   Find the range of q. If the odds of smokers in a study are 0.25 then find the proportion of smokers in the study. Assume that each subject of the study is either a smoker or non-smoker.

To prove that q = p/(1-p), where p denotes the proportion and q denotes the odds, we can use the definitions of proportion and odds.

Let's consider a sample space with two possible outcomes: success (S) and failure (F).

The proportion (p) is defined as the number of successes divided by the total number of outcomes. That is:

p = Number of successes / (Number of successes + Number of failures)

The odds (q) is defined as the ratio of the number of successes to the number of failures. That is:

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