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![Let X be a continuous random variable with domain D = [0, 7] and PDF
0 <x < 2,
ах
2a
fx(x) =
2 <x < 5,
-ax + 7/10 5< x < 7,
otherwise.
(a) Determine a.
(b) Sketch fx (x) on the domain.
(c) Give the following:
(i) E(X),
(ii) The median of X,
(iii) Pr(X < 5),
(iv) Pr(X = 3).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe6d7780b-011c-4769-a2d2-6de3a9660311%2F26b8b09e-a2ff-47fd-943f-38b7f33db3ea%2F1d8z8k_processed.png&w=3840&q=75)
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