Question: Consider the following function: f1x2 = k x2, 10 x 20 * (a) Determine the value of the constant k that will render

Consider the following function:

f1x2 =

k x2, 10 … x … 20

*

(a) Determine the value of the constant k that will render f(x) a pdf.

(b) Determine the CDF, and find the probability that x is (i) larger than 12 and

(ii) between 13 and 15.

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