Question: 20. Let the time until a new car breaks down be denoted by X, and let Then Y is the life of the car, if

20. Let the time until a new car breaks down be denoted by X, and let

Y = X 5 if X 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.

Y = X 5 if X 5 if X > 5.

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