3 over 20 is the fraction in simplest form.
a)
because it is equal to the area of the shaded region between X=4 and X=6, and the probability that X falls within some interval is given by the area under the PDF.
b)
because the shaded region is a rectangle of height 1/5 (by virtue of X following a uniform distribution over the interval [2, 7], which has length 5).
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Answer:
y-intercept equals 4 and the x-intercept is the fraction 10/3