See Hamming [HAMM 1973]. Consider a normalized floating-point number inbase (or radix)

Chapter 3, Problem 4

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See Hamming [HAMM 1973]. Consider a normalized floating-point number inbase (or radix) so that the mantissa, X, satisfies the condition 1/ X < 1.Experience shows that X has the following reciprocal density:fX(x) = kx, k> 0.Determine(a) The value of k.(b) The distribution function of X.(c) The probability that the leading digit of X is i for 1 i

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