# Lesson 6 exercises¶

## Exercise 6.1¶

How would you expect each of the following to be distributed?

**a)** The amount of time between repressor-operator binding events.

**b)** The number of times a repressor binds its operator in a given hour.

**c)** The amount of time (in total minutes of baseball played) between no-hitters in Major League Baseball.

**d)** The number of no-hitters in a Major League Baseball season.

**e)** The winning times of the Belmont Stakes.

To answer this question, try to match these stories to the stories of named distributions. For those of you not familiar with baseball, a no-hitter is a game in which a team concedes no hits to the opposing team. There have only been a few hundred no-hitters in over 200,000 MLB games. The Belmont Stakes is a major horse race that has been run each year for over 150 years.

## Exercise 6.2¶

Say I have three distributions:

Exponential, β=1

Normal, μ=1, σ=1

Cauchy, µ=1, σ=1

Say I draw numbers out of each of these distributions. Rank order the distributions, lowest to highest, in terms of how likely I am do draw a number greater than 10. You do not need to calculate anything to answer this question.

## Exercise 6.3¶

Now draw a million numbers out of each of the three distributions in Exercise 6.2. Which, if any, had numbers greater than ten? Was your intuition from exercise 6.2 correct?

## Exercise 6.4¶

Write down any questions or points of confusion that you have.