The first significant digit in any number must be1, 2,3, 4,5, 6,7, 8, or 9. It was discovered that first digits do not occur with equal frequency. Probabilities of occurrence to the first digit in a number are shown in the accompanying table. The probability distribution is now known asBenford's Law. Forexample, the following distribution represents the first digits in 220 allegedly fraudulent checks written to a bogus company by an employee attempting to embezzle funds from his employer. Complete parts (a) and (b) below.

H Distribution of First Digits X Distribution of first digits (Benford's Law) Digit 1 2 3 4 5 Full data set Probability 0.301 0.176 0. 125 0.097 0.079 Digit 6 7 8 9 Probability 0.067 0.058 0.051 0.046 First digits in allegedly fraudulent checks First digit 1 2 3 4 5 6 7 8 9 Frequency 36 32 28 26 23 36 15 17 7 Print Done