Let X denote the amount of space occupied by an article placed in a 1-ft^3 packing container. The pdf of the continuous random variable X is
f(x) = intergral of kx^8 (1-x) 0
0 otherwise
*This is supposed to be set up as an integral sorry for the confusion
1. Find the value of K for which f(x) is a pdf?
2. Obtain the cdf of X
3. Compute E(X), V(X), and standard deviation
4. What is the probability that X is within 2 standard deviation of its mean value?