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) 01 (b) What is P(X ≤ 0.65) [i.e., F(0.65)]? (Round your answer to four decimal places.) X (c) Using the cdf from (a), what is P(0.25 < X < 0.65)? (Round your answer to four decir

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i need help with the three questions.

J. Punta
MY NOTES
ULIMILJ
ASK YOUR TEACHER
Obtain the cdf of X.
I REVIOUS AINSTYLING
F(x) =
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) = {90x*(1-x)
Graph the cdf of X.
0<x< 1
otherwise
0
90
1
9
ULVURLJIMIS 4.2.VIJ.
PRACTICE ANOTHER
10
10
x < 0
0≤x≤ 1
x > 1
(b) What is P(X ≤ 0.65) [i.e., F(0.65)]? (Round your answer to four decimal places.)
x
(c) Using the cdf from (a), what is P(0.25 < X < 0.65)? (Round your answer to four decim:
What is P(0.25 ≤ x ≤ 0.65)? (Round your answer to four decimal places.)
Transcribed Image Text:J. Punta MY NOTES ULIMILJ ASK YOUR TEACHER Obtain the cdf of X. I REVIOUS AINSTYLING F(x) = 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) = {90x*(1-x) Graph the cdf of X. 0<x< 1 otherwise 0 90 1 9 ULVURLJIMIS 4.2.VIJ. PRACTICE ANOTHER 10 10 x < 0 0≤x≤ 1 x > 1 (b) What is P(X ≤ 0.65) [i.e., F(0.65)]? (Round your answer to four decimal places.) x (c) Using the cdf from (a), what is P(0.25 < X < 0.65)? (Round your answer to four decim: What is P(0.25 ≤ x ≤ 0.65)? (Round your answer to four decimal places.)
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