Let the number be x.
Therefore, by the problem
x/6-(-3) = 12
or, x/6+3 = 12
or, x/6 = 12-3
or, x/6 = 9
or, x = 9 × 6
or, x = 54
The number is 54.
Using binomial distribution where success is the appearing of any of the top 10 most common names, thus probability of success (p) is 9.6% = 0.096 and the probability of failure = 1 - 0.096 = 0.904. Number of trials is 11.
Binomial distribution probability is given by P(x) = nCx (p)^x (q)^(n - x)
Probability that none of the top 10 most common names appears is P(0) = 11C0 (0.096)^0 (0.904)^(11 - 0) = (0.904)^11 = 0.3295
Thus, the probability that at least one of the 10 most common names appear is 1 - 0.3295 = 0.6705
Therefore, I will be supprised that none of the names of the authors were among the 10 most common names given that the probability that at least one of the names appear is 67%.
Answer:
12 because you have to divide 105 by 9 2inch is 11.6666666... so you round up and get 12
