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If X has distribution function F, what is the distribution function of the random variable 伪X + 尾, where 伪 and 尾 are constants, 0?

Short Answer

Expert verified

In the given information the answer isFX+(y)=Fy-

Step by step solution

01

Step 1:Given Information

X has distribution function F.

The distribution function F at X =x has the property that represents the probability that X is at most y.

F(x)=P(Xx)

02

Calculation

Let us determine the cumulative distribution function of X+(0).

FX+(y)=P(X+y)

=P(Xy-)

=PXy-

=Fy-

03

Step 3:Final Answer

The final answer isFX+(y)=Fy-

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