P1 The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function.(0.025x + 0.4f(x) =3 ≤x≤ 5otherwise0(a) Graph the pdf.f(x)f(x)f(x)0.60.50.40.30.20.130.60.50.40.30.20.1XO1 23 4 5Verify that the total area under the density curve is indeed 1.55[³0.025x + 0.4 dx == 2.3125 -(b) Calculate P(X ≤ 4).How does this probability compare to P(X < 4)?O P(X ≤ 4) = P(X < 4)O P(X ≤4) > P(X < 4)O P(X ≤ 4) < P(X < 4)(c) Calculate P(3.5 ≤ x ≤ 4.5).Calculate P(4.5 < X).1 2450.60.50.40.30.20.1O1 2 345Xf(x)0.60.50.40.30.20.11 2 345X

Answered: Image /qna-images/answer/6d2d0b7a-1044-4e52-aafb-d834a69e2cee.jpg

The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function. [0.025x + 0.4 f(x) = 0 3≤x≤5 otherwise (a) Graph the pdf. f(x) f(x) f(x) 1 2 O 3 4 5 3 O Verify that the total area under the density curve is indeed 1. 0.0 0.025x + 0.4 dx = = 2.3125 - (b) Calculate P(X ≤ 4). How does this probability compare to P(X < 4)? O P(X ≤ 4) = P(X < 4) O P(X ≤ 4) > P(X <4) O P(X ≤ 4) < P(X < 4) (c) Calculate P(3.5 ≤ x ≤ 4.5). Calculate P(4.5 < X). 0.6 0.5 0.4 0.3 0.2 0.1 X 0.6 0.5 0.4 0.3 0.2 0.1 1 2 4 0.6 0.5 0.4 0.3 0.2 0.1 O 1 2 3 4 5 X f(x) 0.6 0.5 0.4 0.3 0.2 0.1 O 1 2 3 4 5 X

The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function. [0.025x + 0.4 f(x) = 0 3≤x≤5 otherwise (a) Graph the pdf. f(x) f(x) f(x) 1 2 O 3 4 5 3 O Verify that the total area under the density curve is indeed 1. 0.0 0.025x + 0.4 dx = = 2.3125 - (b) Calculate P(X ≤ 4). How does this probability compare to P(X < 4)? O P(X ≤ 4) = P(X < 4) O P(X ≤ 4) > P(X <4) O P(X ≤ 4) < P(X < 4) (c) Calculate P(3.5 ≤ x ≤ 4.5). Calculate P(4.5 < X). 0.6 0.5 0.4 0.3 0.2 0.1 X 0.6 0.5 0.4 0.3 0.2 0.1 1 2 4 0.6 0.5 0.4 0.3 0.2 0.1 O 1 2 3 4 5 X f(x) 0.6 0.5 0.4 0.3 0.2 0.1 O 1 2 3 4 5 X

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 11E: A Troublesome Snowball One winter afternoon, unbeknownst to his mom, a child bring a snowball into...

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