  # for y> M/the cumulative distribution(d) Find the probability P(Y < M/2). How can tlllthe c.d.f. Fy?found(e) Does Y qualify either as a discrete or as a continuous random variableHint. When you write down probabilities, be careful with and

Question help_outlineImage Transcriptionclosefor y> M/ the cumulative distribution (d) Find the probability P(Y < M/2). How can tlll the c.d.f. Fy? found (e) Does Y qualify either as a discrete or as a continuous random variable Hint. When you write down probabilities, be careful with and help_outlineImage TranscriptioncloseExercises a) Find the cumulative distribution function F of X. (b) Find the mean E(X). (c) Find the variance Var(X). Hint. You should see something analogous in Exa Exercise 3.63. A random variable X is symmetric if X fullscreen
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Step 1

Introduction:

Some properties of the continuous uniform distribution:

Probability density function (pdf):

If X ~ U (a, b), the pdf f (x) = 1/(ba); a < X < b.

Cumulative distribution function (cdf):

The cdf F (x) = (xa)/(ba); a < x < b.

Expectation:

The mean or expectation of X is, E (X) = (a...

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