Let X denote the amount of space occupied by an article placed in a 1-ft3 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) [i.e., F(.5)]?
c. Using the cdf from (a), what is P(.25d. What is the 75th percentile of the distribution?
e. Compute E(X) and σX.
f. What is the probability that X is more than 1 standard deviation from its mean value?

Transcribed Image Text:

f(x) = [90r"( 1 -x) 0