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PLEASE ANSWER 21 THE GRAPH AND A,B

PLEASE ANSWER 21 THE GRAPH AND A,B

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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PLEASE ANSWER 21 THE GRAPH AND A,B

The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function. f(x)- (a) Graph the pdf foxo 0.6) 0.3 0.4 0.2 01 foo 0.6 05 04 0.05x+0.3 0.3 02 01 1 1 Verify that the total 2 otherwise 5 N f(x) 0.6 0.5 0.4 0.3 0.2 0.1 2 3 4 S f(x) 0.6 0.3 0.4 0.3 0.1
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. f(x)- (a) Graph the pdf foxo 0.6) 0.3 0.4 0.2 01 foo 0.6 05 04 0.05x+0.3 0.3 02 01 1 1 Verify that the total 2 otherwise 5 N f(x) 0.6 0.5 0.4 0.3 0.2 0.1 2 3 4 S f(x) 0.6 0.3 0.4 0.3 0.1
0.1 1 2 3 0.05x + 0.3 dx = (b) Calculate P(X ≤ 4). Verify that the total area under the density curve is indeed 1. fo = 2.125- 5 Calculate P(4.5 < X). 4 3 How does this probability compare to P(X < 4)? OP(X ≤ 4) > P(X < 4) OP(X ≤ 4) = P(X<4) OP(X ≤ 4) < P(X < 4) (c) Calculate P(3.5 ≤ x ≤ 4.5). 5 X
Transcribed Image Text:0.1 1 2 3 0.05x + 0.3 dx = (b) Calculate P(X ≤ 4). Verify that the total area under the density curve is indeed 1. fo = 2.125- 5 Calculate P(4.5 < X). 4 3 How does this probability compare to P(X < 4)? OP(X ≤ 4) > P(X < 4) OP(X ≤ 4) = P(X<4) OP(X ≤ 4) < P(X < 4) (c) Calculate P(3.5 ≤ x ≤ 4.5). 5 X
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