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![Let X be a continuous random variable with domain D = [0, 7] and PDF
0<x < 2,
2< r < 5,
2a
fx(r) =
-ar +7/10 5<r<7,
otherwise.
(a) Determine a.
(b) Sketch fx(r) 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%2F19df2088-efea-48d5-bc03-59db990e89d2%2F513eeccf-dfd8-4426-bae5-2de737833e24%2Ffqhqcmb_processed.jpeg&w=3840&q=75)
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