The probability density function (p. d.f.) of a continuous random variable xx is defined to be:

f(x)={x/6+k for 0

0 otherwise,

for some constant k. for these problems, ensure your answers are accurate to within 3 decimals.

part a)

find the value of k that makes the above function a proper p. d.f.

part b)

hence find p(0.5)

show all the work