According to benford's law, the probability that the first digit of the amount of a randomly chosen invoice is a 1 or a 2 is 0.477. you examine 90 invoices from a vendor and find that 29 have first digits 1 or 2. if benford's law holds, the count of 1s and 2s will have the binomial distribution with =90 and p=0.477. too few 1s and 2s suggests fraud. what is the approximate probability of counting 29 or fewer 1s and 2s if the invoices follow benford's law? use normal approximation to solve the problem, if its conditions are met.
a. 0.9855
b. 0.0145
c. 0.9984
d. 0.0016