Let X denote the amount of space occupied by an article placed in a 1-1ft3 packing container. The pdf of X is
a. Graph the pdf. Then obtain the cdf of X and graph it.
b. What is P(X≤.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 σ x .
f. What is the probability that X is more than 1 standard deviation from its mean value?
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