What is sampling
Figure 1
![lake with frogs and two samples drawn from them](../fig/sampling-frogs.png)
Sampling frogs in a lake
What is a probability distribution?
Figure 1
![possible outcomes of sampling ten frogs](../fig/sampling-frogs-2.png)
Binomial sampling
Figure 2
![graph showing probability distribution of frog catches](../fig/sampling-frogs-3.png)
Sampling probabilities
Figure 3
![example graphs for discrete and continuous probability distributions](../fig/distributions-1.png)
Types of probability distributions
The binomial distribution
Figure 1
![possible outcomes of sampling 10 frogs](../fig/sampling-frogs-2.png)
Figure 2
![example graph for binomial probability distribution](../fig/binomial.png)
The binomial distribution
Probability distributions in R
Figure 1
The Poisson distribution
Figure 1
![frog cartoon demonstrating how the Poisson is derived from the Binomial distribution](../fig/poisson-derivation.png)
The Poisson distribution is a special case of
the binomial
Figure 2
![lake with only one sort of frogs](../fig/sampling-frogs.png)
Poisson example
Figure 3
Simulations in R
The Gamma-Poisson distribution
Figure 1
Figure 2
![plots demonstrating a mixture distribution from gamma and poisson](../fig/gamma-poisson.png)
The Gamma Poisson distribution
The Gaussian distribution
Figure 1
![plot of Gaussian distribution](../fig/frog_sizes.png)
Gaussian probability density function
Visualizing distributions
Figure 1
![histogram plot](../fig/histogram.png)
Figure 2
![histogram and ecdf plot](../fig/histogram-cumulative.png)
Figure 3
![histogram, ecdf, and qq plot](../fig/histogram-cumulative-qq.png)
Histograms in R
Figure 1
![](../fig/10-histogram-rendered-histograms-1.png)
Figure 2
![](../fig/10-histogram-rendered-histogram-expected-freq-1.png)
Figure 3
![](../fig/10-histogram-rendered-goodfit-1.png)
The cumulative distribution function
Figure 1
![](../fig/11-cdf-rendered-ecdf-plot-1.png)
Figure 2
![](../fig/11-cdf-rendered-ecdf-cdf-plot-1.png)
The QQ-plot
Figure 1
![](../fig/12-qq-rendered-qq-plot-normal-1.png)
Figure 2
![](../fig/12-qq-rendered-qq-plot-pois-1.png)
Figure 3
![](../fig/12-qq-rendered-unnamed-chunk-2-1.png)
Figure 4
![](../fig/12-qq-rendered-fitdistrplus-pois-solution-1.png)