3. DETAILS DEVORESTAT9 4.2.011.MI. Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. { x²2 16 F(x) = 0 x < 0 0≤x≤4 4 ≤X Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 3). (b) Calculate P(2.5 ≤ x ≤ 3). (c) Calculate P(X > 3.5).
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3.
DETAILS
DEVORESTAT9 4.2.011.MI.
Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following.
F(x) =
0
16
1
x < 0
0 < x < 4
Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)
(a) Calculate P(X ≤ 3).
(c) Calculate P(X > 3.5).
4 ≤X
(b) Calculate P(2.5 ≤ x ≤ 3).
(f) Calculate E(X).
(d) What is the median checkout duration ? [solve 0.5 = F(p)].
(e) Obtain the density function f(x).
f(x) = F'(x)
(g) Calculate V(X) and a
0≤x≤4
otherwise](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa1c903f2-e6e2-413b-867e-c476db04ea87%2Fbf9d6440-4ab9-4861-b5f5-0db453726065%2Fkj0dj1_processed.jpeg&w=3840&q=75)
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