Let X be a random variable with probability density c cos x, x E [-1/2,7/2], C COS X, f (x) = 0, otherwise, where c is some constant. (a) What must the value of c be? (b) Find the cumulative distribution function of X.
Let X be a random variable with probability density c cos x, x E [-1/2,7/2], C COS X, f (x) = 0, otherwise, where c is some constant. (a) What must the value of c be? (b) Find the cumulative distribution function of X.
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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hello! I need help with the following probability problem. Thank you in advance..!
![Let X be a random variable with probability density
c cos x, x E [-1/2,7/2],
C COS X,
f(x) =
0,
otherwise,
where c is some constant.
(a) What must the value of c be?
(b) Find the cumulative distribution function of X.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25ecc335-25be-4ebd-8f8c-629ee64b2629%2Fc1aab351-5e7e-4aa0-aa93-ea53fc19ac31%2Fu7vpiq_processed.png&w=3840&q=75)
Transcribed Image Text:Let X be a random variable with probability density
c cos x, x E [-1/2,7/2],
C COS X,
f(x) =
0,
otherwise,
where c is some constant.
(a) What must the value of c be?
(b) Find the cumulative distribution function of X.
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