Question: 19. Let the time until a new car breaks down be denoted by X, and let Y = B X if X 5 5

19. Let the time until a new car breaks down be denoted by X, and let Y = B X if X ≤ 5 5 if X > 5. Then Y is the life of the car, if it lasts less than 5 years, and is 5 if it lasts longer than 5 years. Calculate the distribution function of Y in terms of F, the distribution function of X.

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