Porisma

A hint to get started

Normalize a piecewise mass function

Find cc such that the following is a probability distribution, then find P(∣X−12∣>14)P(|X-\frac12|>\frac14).

P(X=x)={cx2,x=−1,−12,x,x=0,cx,x=34,1,0,otherwise.P(X=x)=\begin{cases}cx^2,&x=-1,-\frac12,\\x,&x=0,\\cx,&x=\frac34,1,\\0,&\text{otherwise}.\end{cases}

CJC · Lecture · Example 4

Name the events, identify the sample space, and state which outcomes or conditions are being counted.

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