Answer to Question #3278 in Statistics and Probability for Reetu Gupta

Question #3278

Let X denote the main memory requirement of ajob as a fraction of the total user-allocatable main memory of a computing center. The density function of X has the form:
f(x)={ k+1)x^k,if 0<x<1, k>0,
0 ,otherwise
a large value of k implies a preponderance of large jobs. if k=0, the distribution-of-memory requirement is uniform. Suppose you have a sample of size 8 given by:
0.25, 0.45, 0.55, 0.75, 0.85, 0.85 0.95 0.90
Estimate the value of k, using the method of moments.

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