Let X denote the amount of space occupied by an article placed in a 1-ft packing container.

Question:

Let X denote the amount of space occupied by an article placed in a 1-ft packing container. The pdf of X is 90x (1-x) 0

a. Graph the pdf. Then obtain the cdf of X and graph it.

b. What is P(X5) [i.e., F(.5)]?

c. Using the cdf from (a), what is P(.25 < x < .5)? What is P(.25 X .5)?

d. What is the 75th percentile of the distribution?

e. Compute E(X) and or

f. What is the probability that X is more than 1 standard deviation from its mean value?

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Probability And Statistics For Engineering And The Sciences

ISBN: 9781133169345

8th Edition

Authors: Jay L Devore, Roger Ellsbury

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Question Posted: Sep 16, 2024 02:01 PM

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Let X denote the amount of space occupied by an article placed in a 1-ft packing container.

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Probability And Statistics For Engineering And The Sciences

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