Question 14

Section A · 1 mark · 66% correct

The question in our own words · page 9

A probability density function is \(k\sin x\) for \(0\le x\lt\frac{\pi}{4}\), \(k\cos x\) for \(\frac{\pi}{4}\le x\le\frac{\pi}{2}\), and \(0\) elsewhere, where \(k\) is a positive constant. What is \(k\)?

  1. A\(\dfrac{1}{\sqrt2}\)
  2. B\(\dfrac{1}{2-\sqrt2}\)
  3. C\(2+\sqrt2\)
  4. D\(2-\sqrt2\)
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