Need help with parts 1a, 1b, and 1c on this Intro to Probability and Statistics homework problem. Here's a PDF:fx(x) = { dede-Axx > 0otherwise1.a) Find the CDF.1.b) Now, let's set λ = 0.25. Find P{X ≤ 3}.1.c) Again using λ = 0.25, Find P{1 ≤ x ≤ 3}.

Answered: Here's a PDF: fx(x) = de-Ax ле 0 x > 0…

Here's a PDF: fx(x) = de-Ax ле 0 x > 0 otherwise 1.a) Find the CDF. 1.b) Now, let's set λ = 0.25. Find P{X ≤ 3}. 1.c) Again using λ = 0.25, Find P{1 < X < 3}.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Need help with parts 1a, 1b, and 1c on this Intro to Probability and Statistics homework problem.

Here's a PDF:
fx(x) = { de
de-Ax
x > 0
otherwise
1.a) Find the CDF.
1.b) Now, let's set λ = 0.25. Find P{X ≤ 3}.
1.c) Again using λ = 0.25, Find P{1 ≤ x ≤ 3}.

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Step 1: Given information:

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Step 2: Find CDF:

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Step 3: Find the value of P{X≤3}:

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Step 4: Find the value of P{1 ≤ X ≤ 3}:

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