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Verify that the total area under the density curve is indeed 1. 5 15. 0.075x + 0.2 dx = (b) Calculate P(X ≤ 4). = 1.9375 11 (c) Calculate P(3.5 ≤ x ≤ 4.5). -(0 Calculate P(4.5 < X). 5 How does this probability compare to P(X < 4)? O P(X ≤ 4) = P(X < 4) OP(X ≤ 4) < P(X < 4) OP(X ≤ 4) > P(X < 4) 3

Verify that the total area under the density curve is indeed 1. 5 15. 0.075x + 0.2 dx = (b) Calculate P(X ≤ 4). = 1.9375 11 (c) Calculate P(3.5 ≤ x ≤ 4.5). -(0 Calculate P(4.5 < X). 5 How does this probability compare to P(X < 4)? O P(X ≤ 4) = P(X < 4) OP(X ≤ 4) < P(X < 4) OP(X ≤ 4) > P(X < 4) 3

A First Course in Probability (10th Edition)
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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The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function. = {0.075X 0.075x + 0.2 (a) Graph the pdf. f(x) 0.6 0.5 0.4 f(x) = 0.3 0.2 0.1 F O f(x) 0.6 0.5 0.4 0.3 0.2 0.1 1 2 3≤x≤5 otherwise 3 3 4 4 5 5 X f(x) 0.6 0.5 0.4 0.3 0.2 0.1 1 2 3 4 5 X 0.6 f(x) 0.5 0.4 0.3 0.2 0.1 1 2 3 4
Transcribed Image Text:The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function. = {0.075X 0.075x + 0.2 (a) Graph the pdf. f(x) 0.6 0.5 0.4 f(x) = 0.3 0.2 0.1 F O f(x) 0.6 0.5 0.4 0.3 0.2 0.1 1 2 3≤x≤5 otherwise 3 3 4 4 5 5 X f(x) 0.6 0.5 0.4 0.3 0.2 0.1 1 2 3 4 5 X 0.6 f(x) 0.5 0.4 0.3 0.2 0.1 1 2 3 4
Verify that the total area under the density curve is indeed 1. 5 15. 0.075x+0.2 dx = (b) Calculate P(X ≤ 4). = 1.9375 = (c) Calculate P(3.5 ≤ x ≤ 4.5). - Calculate P(4.5 < X). ( How does this probability compare to P(X < 4)? P(X ≤ 4) = P(X < 4) P(X ≤ 4) < P(X < 4) OP(X ≤ 4) > P(X < 4) 5 3
Transcribed Image Text:Verify that the total area under the density curve is indeed 1. 5 15. 0.075x+0.2 dx = (b) Calculate P(X ≤ 4). = 1.9375 = (c) Calculate P(3.5 ≤ x ≤ 4.5). - Calculate P(4.5 < X). ( How does this probability compare to P(X < 4)? P(X ≤ 4) = P(X < 4) P(X ≤ 4) < P(X < 4) OP(X ≤ 4) > P(X < 4) 5 3
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