A continuous random variable X has the distribution function

F(x) = 0 if x < 1

= k (x - 1)4 if 1 < x < 3

= 1 if x > 3

The value of k is

1
\(\frac{1}{{16}}\)
2
\(\frac{1}{{4}}\)
3
\(\frac{1}{{8}}\)
4
\(\frac{1}{{2}}\)

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