1 2 3 0.05x+0.3 dx = = 2.125 Verify that the total area under the density curve is indeed 1. Lo 11 5 4 3 5 X
1 2 3 0.05x+0.3 dx = = 2.125 Verify that the total area under the density curve is indeed 1. Lo 11 5 4 3 5 X
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...
Related questions
Question
21 PLEASE ANSWER B, C
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-
4
5
3
Calculate P(4.5< X).
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:The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function.
0.6
0.3
0.4
(a) Graph the pdf
foxo
0.2
f(x) -
01
0.05x+0.3
foo
0.6
0.5
04
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON