PLEASE ANSWER 21 THE GRAPH AND A,B
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4147167-787a-4124-9c1a-9473ac425578%2F53d9df25-66e2-4c61-a5b5-c79aba9f199a%2Fngc8o0o_processed.png&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4147167-787a-4124-9c1a-9473ac425578%2F53d9df25-66e2-4c61-a5b5-c79aba9f199a%2Fjvpf4e_processed.png&w=3840&q=75)
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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