(b) What is P(X ≤ 0.7) [i.e., F(0.7)]? (Round your answer to four decimal places.) 0.1493 (c) Using the cdf from (a), what is P(0.45 < X < 0.7)? (Round your answer to four decimal places.) 0.1448 What is P(0.45 ≤ x ≤ 0.7)? (Round your answer to four decimal places.) 0.1448 (d) What is the 75th percentile of the distribution? (Round your answer to four decimal places.) 0.8181 x (e) Compute E(X) and ox. (Round your answers to four decimal places.) E(X)= 0.8182 x=0.1114 (f) What is the probability that X is more than 1 standard deviation from its mean value? (Round your answer to four decimal places.) 0.1535 X
(b) What is P(X ≤ 0.7) [i.e., F(0.7)]? (Round your answer to four decimal places.) 0.1493 (c) Using the cdf from (a), what is P(0.45 < X < 0.7)? (Round your answer to four decimal places.) 0.1448 What is P(0.45 ≤ x ≤ 0.7)? (Round your answer to four decimal places.) 0.1448 (d) What is the 75th percentile of the distribution? (Round your answer to four decimal places.) 0.8181 x (e) Compute E(X) and ox. (Round your answers to four decimal places.) E(X)= 0.8182 x=0.1114 (f) What is the probability that X is more than 1 standard deviation from its mean value? (Round your answer to four decimal places.) 0.1535 X
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.1: Systems Of Equations
Problem 44E
Related questions
Question
answer letter d and f
![(b) What is P(X ≤ 0.7) [i.e., F(0.7)]? (Round your answer to four decimal places.)
0.1493
(c) Using the cdf from (a), what is P(0.45 < X ≤ 0.7)? (Round your answer to four decimal places.)
0.1448
What is P(0.45 ≤X ≤ 0.7)? (Round your answer to four decimal places.)
0.1448
(d) What is the 75th percentile of the distribution? (Round your answer to four decimal places.)
0.8181
X
(e) Compute E(X) and ox. (Round your answers to four decimal places.)
E(X) = 0.8182
x=0.1114
(f) What is the probability that X is more than 1 standard deviation from its mean value? (Round your answer to four decimal places.)
0.1535](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fddd96ab9-54be-46e6-927a-d9e159267b74%2F42beba2d-cbba-4139-a381-8971cb8763ea%2Fe797fyq_processed.png&w=3840&q=75)
Transcribed Image Text:(b) What is P(X ≤ 0.7) [i.e., F(0.7)]? (Round your answer to four decimal places.)
0.1493
(c) Using the cdf from (a), what is P(0.45 < X ≤ 0.7)? (Round your answer to four decimal places.)
0.1448
What is P(0.45 ≤X ≤ 0.7)? (Round your answer to four decimal places.)
0.1448
(d) What is the 75th percentile of the distribution? (Round your answer to four decimal places.)
0.8181
X
(e) Compute E(X) and ox. (Round your answers to four decimal places.)
E(X) = 0.8182
x=0.1114
(f) What is the probability that X is more than 1 standard deviation from its mean value? (Round your answer to four decimal places.)
0.1535
![Let X denote the amount of space occupied by an article placed in a 1-ft³ packing container. The pdf of X is below.
[90x8(1-x) 0 < x < 1
{90x811
otherwise
f(x)
=
(a) Graph the pdf.
f(x)
4
3
2
1
f(x)
4
3
2
1
Obtain the cdf of X.
0.2
F(x)
=
0.4
0.2
20-1250-50)
9
X
1
0.4
0.6
f(x)
4
3
LE
2
1
0.8
1.0
0.6
x < 0
0.8
(10 – 9x) 0 ≤ x ≤ 1
X > 1
X
1.0
f(x)
4
3
2
1
0.2
0.4
0.2
0.6
0.4
0.8
0.6
0.8
1.0
1.0
X
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fddd96ab9-54be-46e6-927a-d9e159267b74%2F42beba2d-cbba-4139-a381-8971cb8763ea%2Fpf0za6t_processed.png&w=3840&q=75)
Transcribed Image Text:Let X denote the amount of space occupied by an article placed in a 1-ft³ packing container. The pdf of X is below.
[90x8(1-x) 0 < x < 1
{90x811
otherwise
f(x)
=
(a) Graph the pdf.
f(x)
4
3
2
1
f(x)
4
3
2
1
Obtain the cdf of X.
0.2
F(x)
=
0.4
0.2
20-1250-50)
9
X
1
0.4
0.6
f(x)
4
3
LE
2
1
0.8
1.0
0.6
x < 0
0.8
(10 – 9x) 0 ≤ x ≤ 1
X > 1
X
1.0
f(x)
4
3
2
1
0.2
0.4
0.2
0.6
0.4
0.8
0.6
0.8
1.0
1.0
X
X
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