Answer parts (a)–(f) of Exercise 15 with lecture time past the hour given in Exercise...

Answer parts (a)–(f) of Exercise 15 with lecture time past the hour given in Exercise 5.

Reference exercise 15

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

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?