(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.) 0.0045 X 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 (e) Compute E(X) and ox. (Round your answers to four decimal places.) E(X)= 0.0124 X x=0.1114

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section3.2: Zeros Of Linear Fumctions
Problem 53PFA
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Question

Please answer the wrong answers only.

(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.)
0.0045
X
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) =
X
= 0.0124
= 0.1114
ox=
(f) What is the probability that Vis mors
1 standard deviation from ite
62 (Round
four do
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.) 0.0045 X 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) = X = 0.0124 = 0.1114 ox= (f) What is the probability that Vis mors 1 standard deviation from ite 62 (Round four do
Let X denote the amount of space occupied by an article placed in a 1-ft³ packing container. The pdf of X is below.
=
f(x)
=
(90x8(1 − ×)
(a) Graph the pdf.
f(x)
4
3
2
f(x)
4
3
2
1
Obtain the cdf of X.
0 < x < 1
otherwise
0.2
0.2
0.4
0.4
0.6
0
F(x) = { x(10 −9x)
:
1
0.6
× < 0
0.8
× > 1
0.8
0 < x < 1
1.0
X
1.0
f(x)
4
X
3
f(x)
4F
3
ME
2
1
0.2
0.4
0.6
2
1
0.2
0.4
0.6
0.8
1.0
0.8
X
1.0
X
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. = f(x) = (90x8(1 − ×) (a) Graph the pdf. f(x) 4 3 2 f(x) 4 3 2 1 Obtain the cdf of X. 0 < x < 1 otherwise 0.2 0.2 0.4 0.4 0.6 0 F(x) = { x(10 −9x) : 1 0.6 × < 0 0.8 × > 1 0.8 0 < x < 1 1.0 X 1.0 f(x) 4 X 3 f(x) 4F 3 ME 2 1 0.2 0.4 0.6 2 1 0.2 0.4 0.6 0.8 1.0 0.8 X 1.0 X
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