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%.
Like if the number is 4,359
You write 4 times 1,000+ 3times 100+ 5times 10+ 9 times 1
Answer:
Step-by-step explanation:
The logistic function of population growth, that is, the solution of the differential equation is as follows:
We use this equation to find the value of r.
In this problem, we have that:
So we find the value of r.
Applying ln to both sides of the equality
So
The differential equation is
