6. The continuous random variable $X$ has the following probability density function: $f(x) = egin{cases} kx^2 + 3, & 0 le x le 3, \ 0, & ext{otherwise} end{cases}$ Find the value of the constant $k$. (4 marks)
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Step 1: For a probability density function, the integral over the entire domain must equal 1. Show more…
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