Course Content

# Probability Theory Basics

5. Covariance and Correlation

Probability Theory Basics

## Challenge: Solving Task Using Exponential Distribution

# Task

The average waiting time for a passing car on a rural road is `10`

minutes. What is the probability of waiting more than `15`

minutes for the next car if you have just seen another car?

We can solve this task using an exponential distribution. You have to:

- Calculate the probability of waiting less than
`15`

minutes. - Calculate the probability of waiting for the car for more than
`15`

minutes, taking into account the fact that the sum of the probabilities of all elementary outcomes is always equal to 1.

Everything was clear?

Section 4. Chapter 3

Course Content

# Probability Theory Basics

5. Covariance and Correlation

Probability Theory Basics

## Challenge: Solving Task Using Exponential Distribution

# Task

The average waiting time for a passing car on a rural road is `10`

minutes. What is the probability of waiting more than `15`

minutes for the next car if you have just seen another car?

We can solve this task using an exponential distribution. You have to:

- Calculate the probability of waiting less than
`15`

minutes. - Calculate the probability of waiting for the car for more than
`15`

minutes, taking into account the fact that the sum of the probabilities of all elementary outcomes is always equal to 1.

Everything was clear?

Section 4. Chapter 3