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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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.
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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