Let x denote the amount of space occupied by an article

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<x<4

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?

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Let x denote the amount of space occupied by an article : let x denote the amount of space occupied by an article placed in a 1-ft3 packing container. the pdf of the continuous

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