The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function. f(x) = {0.07 (0.075x + 0.2 3 ≤ x ≤ 5 0 otherwise (a) Graph the pdf. f(x) 0.6 0.5 0.4 0.3 0.2 0.1 X 2 3 4 5 f(x) 0.6 0.5 0.4F 0.3 0.2 0.1 Verify that the total area under the density curve is indeed 1. 5 0.075x + 0.2 dx = (b) Calculate P(X ≤ 4). (c) 5 3 = 1.9375 - How does this probability compare to P(X < 4)? ○ P(X ≤ 4) > P(X < 4) P(X ≤ 4) < P(X < 4) P(X ≤ 4) = P(X < 4) Calculate P(3.5 ≤ X ≤ 4.5). Calculate P(4.5

The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function. f(x) = {0.07 (0.075x + 0.2 3 ≤ x ≤ 5 0 otherwise (a) Graph the pdf. f(x) 0.6 0.5 0.4 0.3 0.2 0.1 X 2 3 4 5 f(x) 0.6 0.5 0.4F 0.3 0.2 0.1 Verify that the total area under the density curve is indeed 1. 5 0.075x + 0.2 dx = (b) Calculate P(X ≤ 4). (c) 5 3 = 1.9375 - How does this probability compare to P(X < 4)? ○ P(X ≤ 4) > P(X < 4) P(X ≤ 4) < P(X < 4) P(X ≤ 4) = P(X < 4) Calculate P(3.5 ≤ X ≤ 4.5). Calculate P(4.5

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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