Find the probability density function
If a random variable X has the uniform (0,1) distribution and Y=2X-1. Find P[Y≤y] for all such values y by reexpressing the inequality in terms of X. Use this to find the probability density function of Y.
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A friend of yours, who is a nurse, is a patient at the facility you work at. He recently had some diagnostic testing done and is anxious about the results.
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