Let X denote the amount of space occupied by an article placed in a 1-ft packing container. The pdf of X is below. otherwise (a) Graph the pdf. fox) f(x) 4 3 3 21 2 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 fx) f(x) 4 3 3 2 21 1 0.2 04 0.6 0.8 1.0 0.2 0.4 0.6 0.8 Obtain the cdf of X. FX) - OSKS1 Graph the cdf of X. F(X) F(X) 1.0 1.0 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 F(X) F(X) 1.아 1.0 0.8 0.8 0.6 0.6 0.4 04 0.2 0.2 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 (b) What is P(X s 0.6) [i.e, F0.6))? (Round your answer to four decimal places.) (c) Using the cdf from (a), what is P(0.3 < XS 0.6)? (Round your answer to four decimal places.) What is P(0.3 SXS0.6)? (Round your answer to four decimal places.)
Let X denote the amount of space occupied by an article placed in a 1-ft packing container. The pdf of X is below. otherwise (a) Graph the pdf. fox) f(x) 4 3 3 21 2 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 fx) f(x) 4 3 3 2 21 1 0.2 04 0.6 0.8 1.0 0.2 0.4 0.6 0.8 Obtain the cdf of X. FX) - OSKS1 Graph the cdf of X. F(X) F(X) 1.0 1.0 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 F(X) F(X) 1.아 1.0 0.8 0.8 0.6 0.6 0.4 04 0.2 0.2 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 (b) What is P(X s 0.6) [i.e, F0.6))? (Round your answer to four decimal places.) (c) Using the cdf from (a), what is P(0.3 < XS 0.6)? (Round your answer to four decimal places.) What is P(0.3 SXS0.6)? (Round your answer to four decimal places.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
Related questions
Question
100%
Can someone please explain it to me all of it ASAP??!!
![Let X denote the amount of space occupied by an article placed in a 1-ft packing container. The pdf of X is below.
Mx) - {56x*(1 - x) o<x<1
otherwise
(a) Graph the pdf.
f(x)
f(x)
3
3
2
0.2
0.4
0.6
0.8
1.0
0.2
04
0.6
0.8
1
f(x)
f(x)
3
3
2
0.2
0.4
0.6
0.8
1.0
0.2
0.4
0.6
0.8
1
Obtain the cdf of X.
x<0
F(x)
OSKS1
x>1
Graph the cdf of X.
F(X)
F(X)
1.0
1.0
0.8
0.8
0.6
0.6
0.4
0.4
0.2
0.2
0.2
0.4
0.6
0.8
1.0
0.2
0.4
0.6
0.8
1
F(X)
F(X)
1.0f
1.0}
0.8
0.8
0.6
0.6
0.4
0.4
0.2
0.2
0.2
0.4
0.6
0.8
1.0
0.2
0.4
4
0.6
0.8
1
(b) What is P(X s 0.6) [i.e., F0.6)]? (Round your answer to four decimal places.)
(C) Using the cdf from (a), what is P(0.3 <x s 0.6)? (Round your answer to four decimal places.)
What is P(0.3 s XS 0.6)? (Round your answer to four decimal places.)
(d) What is the 75th percentile of the distribution? (Round your answer to four decimal places.)
(e) Compute E(X) and ay (Round your answers to four decimal places.)
E(X)
(f) What is the probability that X is more than 1 standard deviation from its mean value? (Round your answer to four
decimal places.)
Need Help?
Read it](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11ad9986-04b0-4336-8340-a3038312afe8%2Fca38a6c6-38e6-4f6d-915d-20802824f30a%2Fi7jn5tb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let X denote the amount of space occupied by an article placed in a 1-ft packing container. The pdf of X is below.
Mx) - {56x*(1 - x) o<x<1
otherwise
(a) Graph the pdf.
f(x)
f(x)
3
3
2
0.2
0.4
0.6
0.8
1.0
0.2
04
0.6
0.8
1
f(x)
f(x)
3
3
2
0.2
0.4
0.6
0.8
1.0
0.2
0.4
0.6
0.8
1
Obtain the cdf of X.
x<0
F(x)
OSKS1
x>1
Graph the cdf of X.
F(X)
F(X)
1.0
1.0
0.8
0.8
0.6
0.6
0.4
0.4
0.2
0.2
0.2
0.4
0.6
0.8
1.0
0.2
0.4
0.6
0.8
1
F(X)
F(X)
1.0f
1.0}
0.8
0.8
0.6
0.6
0.4
0.4
0.2
0.2
0.2
0.4
0.6
0.8
1.0
0.2
0.4
4
0.6
0.8
1
(b) What is P(X s 0.6) [i.e., F0.6)]? (Round your answer to four decimal places.)
(C) Using the cdf from (a), what is P(0.3 <x s 0.6)? (Round your answer to four decimal places.)
What is P(0.3 s XS 0.6)? (Round your answer to four decimal places.)
(d) What is the 75th percentile of the distribution? (Round your answer to four decimal places.)
(e) Compute E(X) and ay (Round your answers to four decimal places.)
E(X)
(f) What is the probability that X is more than 1 standard deviation from its mean value? (Round your answer to four
decimal places.)
Need Help?
Read it
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 with 3 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage