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Let X be a continuous random variable with a PDF of the form fX(x)={c(1−x),0,if x∈[0,1],otherwise. Find...

Let X be a continuous random variable with a PDF of the form fX(x)={c(1−x),0,if x∈[0,1],otherwise.

Find the following values.

1. c=

2. P(X=1/2)=

3. P(X∈{1/k:k integer, k≥2})=

4. P(X≤1/2)=

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