We continue our discussion of the Discrete and Continuous Probability distribution.

Blood Types - Discrete distribution function

Here we present the distribution of different Blood Types

Emergency Room probability distribution function

The number of patients seen in an Emergency Room in any given hour is provided by a random variable x

1. Find the probability that exactly 13 patients arrive in a given hour

   Answer = p(x = 13 ) = 0.1

2. Find the probability that at least 12 patients arrive

   Answer = p(x = 12 ) + p(x = 13 ) = 0.1 + 0.1 = 0.2

3. Find the probability that at most 11 patients arrive

   Answer = p(x = 9 ) + p(x = 10 ) + p( x= 11)= 0.3 + 0.3 + 0.2 = 0.8

Continuous probability distribution function

Any continuous mathematical function that integrates to 1 is a probablity function.

The probabilities are provided for a range of values rather than for a single value. The exponential function is an example of a continuous probability distribution.

Imagine that the survival times after a lung tansplant follow an exponential function. Then the probablity of a patient will die in the second year of the surgery ( the range is between 1 and 2) is 23%.

$\int_{1}^{2} e^{-x} dx$ = $\left. e^{-x} \right|_{1}^{2}$ = 23%