Answer: Let X denote the amount of space occupied by an
Chapter 4, Problem 4.23(choose chapter or problem)
Let X denote the amount of space occupied by an article placed in a 1-ft3 packing container. The pdf of X is f(x) 90x8 (1 x) 0 x 1 0 otherwise a. Graph the pdf. Then obtain the cdf of X and graph it. b. What is P(X .5) [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 X. f. What is the probability that X is more than 1 standard deviation from its mean value?
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