chapter 1 - the FORBIDDEN city casting

In the Shiny app, you can first select the distribution chart: 

• Binomial distribution

• PMF comparison of Poisson Distribution and Binomial distribution

In the first chart, you can input the number of trials (n) and probability of success (p) to change the shape of the Binomial distribution.

Then choose the interval, including Lower tail P(X ≤ x), Upper tail P(X > x) , and  Interval P(a ≤ X ≤ b).

There are 2 plots in the Shiny app:

1. The histogram of Binomial distribution.

2. Red parts represent selected intervals, the rest is in blue.

In the second chart, you can change the number of trials (n), probability of success (p) and rate (λ) to adjust the shape of the Binomial distribution and Poisson Distribution by sliding the slider.

There are 2 plots in the Shiny app:

1. Trends in the distributions of the Binomial and Poisson distributions.

2. Red line represents Binomial distribution; Poisson Distribution is in blue.

The following is the link to the Shiny app.  Use it complete Question 1 below:

Explore!