Challenge: Solving Task Using Exponential Distribution | Commonly Used Continuous Distributions

Course Content

# Probability Theory Basics

Probability Theory Basics

## Challenge: Solving Task Using Exponential Distribution

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:

1. Calculate the probability of waiting less than `15` minutes.
2. 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

Probability Theory Basics

## Challenge: Solving Task Using Exponential Distribution

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?
1. Calculate the probability of waiting less than `15` minutes.
2. 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.