4. (a) Let d > 0, and let X be a continuous random variable satisfying X - Unifl-d, d]. Calculate ox (t). Make sure to write your answer in terms of real and imaginary parts. (b) Let c, d > 0. Use the Inversion Theorem to prove that sin(ct) sin(dt) t2 dt = r min{c, d}. (Hint: this is related to part (a).)

MATLAB: An Introduction with Applications
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4. (a) Let d > 0, and let X be a continuous random variable satisfying X - Unifl-d, d]). Calculate
øx(t). Make sure to write your answer in terms of real and imaginary parts.
(b) Let c, d > 0. Use the Inversion Theorem to prove that
* sin(ct) sin(dt)
dt = r min{c, d}.
t2
(Hint: this is related to part (a).)
Transcribed Image Text:4. (a) Let d > 0, and let X be a continuous random variable satisfying X - Unifl-d, d]). Calculate øx(t). Make sure to write your answer in terms of real and imaginary parts. (b) Let c, d > 0. Use the Inversion Theorem to prove that * sin(ct) sin(dt) dt = r min{c, d}. t2 (Hint: this is related to part (a).)
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