Let X Exponential(2) and Y = 2 +3X. a. Find P(X > 2). b. Find EY

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Let X ∼ Exponential(2) and Y = 2 +3X.

a. Find P(X > 2).

b. Find EY and V ar(Y ).

c. Find P(X > 2|Y < 11).

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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: Nov 01, 2023 01:40 PM

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Let X Exponential(2) and Y = 2 +3X. a. Find P(X > 2). b. Find EY

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Step by Step Answer:

a To find PX 2 we need to calculate the cumulative distribution function CDF of the exponential dist...View the full answer

Introduction To Probability Statistics And Random Processes

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