Let X be a random variable with the following CDF: a. What kind of random variable is

Question:

Let X be a random variable with the following CDF: Fx (x) = 4 0 (1-e-*) + (1 - e-) + x 1 0 < x < 1 x < 0

a. What kind of random variable is X (discrete, continuous, or mixed)?

b. Find the (generalized) PDF of X.

c. Find P(X > 0.5), both using the CDF and using the PDF.

d. Find EX and Var(X).

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Introduction To Probability Statistics And Random Processes

ISBN: 9780990637202

1st Edition

Authors: Hossein Pishro-Nik

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Question Posted: Oct 27, 2023 03:51 AM

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Let X be a random variable with the following CDF: a. What kind of random variable is

Question:

Fx (x) = 4 0 (1-e-*) + (1 - e-¹) + x ≥ 1 0 < x < 1 x < 0

Step by Step Answer:

a Let us plot Fxx to better understand the problem Figure 412 shows Fxx We see that the CDF has two ...View the full answer

Introduction To Probability Statistics And Random Processes

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