- Get a plot of Binomial Distribution B(n,p); n is the total sample size, p is the probability of success / event from the total sample; np=mean, np(1-p)=variance
- Get the probability of a certain position (at the red point)

**Binomial probability plot**

The blue curve is the normal distribution with mean n*p and sd n*p*(1-p). It indicates the normal approximation of binomial distribution.

**Probability at the observed number of success /event (Red-Dot)**

*Explanation: the probability of 2 lymphocytes was about 0.03*

**Histogram from random numbers**

**Sample descriptive statistics**

**Histogram from upload data**

**Sample descriptive statistics**

- Draw a plot of Poisson Distribution P(Rate); Rate indicates the expected number of occurrences; Rate = mean =variance
- Get the probability of a certain position (at the red point)

The blue curve is the normal distribution with mean=rate and sd=rate. It indicates the normal approximation of binomial distribution.

**Poisson probability plot**

**Probability at the observed number of occurrences (Red-Dot)**

*Explanation: the probability distribution until 5 month was 0.97. Thus, the probability distribution after 6 months was about 0.03*

**Histogram from upload data**

**Sample descriptive statistics**