Question

Riding to School The probability that John will drive to school is 0.37, the probability that he will ride with friends is 0.23, and the probability that his parents will take him is 0.4. He is not allowed to have passengers in the car when he is driving. What is the probability that John will have company on the way to school?

Name: Problem 6, Chapter 4: Elementary Statistics a Step by Step Approach
Uploaded: 2020-06-25T17:14:09-08:00
Duration: 3 min 38 s
Channel: Andre Montanez Berrios
Description: Riding to School The probability that John will drive to school is 0.37, the probability that he will ride with friends is 0.23, and the probability that his parents will take him is 0.4. He is not allowed to have passengers in the car when he is driving. What is the probability that John will have company on the way to school?

   Riding to School The probability that John will drive to school is 0.37, the probability that he will ride with friends is 0.23, and the probability that his parents will take him is 0.4. He is not allowed to have passengers in the car when he is driving. What is the probability that John will have company on the way to school?

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Chapter 4, Problem 6

Instant Answer

Solved by Expert Andre Montanez Berrios

06/25/2020

Step 1

We know that the probability of John driving to school is 0.37, the probability of him riding with friends is 0.23, and the probability of his parents taking him is 0.4. We can represent these as: \[P(\text{John driving}) = 0.37\] \[P(\text{Riding with friends}) = Show more…

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Riding to School The probability that John will drive to school is 0.37, the probability that he will ride with friends is 0.23, and the probability that his parents will take him is 0.4. He is not allowed to have passengers in the car when he is driving. What is the probability that John will have company on the way to school?

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Key Concepts

Mutually Exclusive Events

This concept refers to events that cannot occur simultaneously; if one event happens, the other cannot. In a probability scenario where choices or outcomes do not overlap, the probabilities of those events can be directly added to compute the likelihood of either event occurring.

Addition Rule in Probability

The addition rule states that if two or more events are mutually exclusive, the probability of any one of them occurring is the sum of their individual probabilities. This rule is essential for calculating the combined probability of outcomes that do not overlap in a given sample space.

Probability Distribution

A probability distribution assigns probabilities to all mutually exclusive outcomes of a random experiment, ensuring that the sum of the probabilities equals 1. Understanding this ensures that each event’s probability is correctly scaled relative to the entire range of possible outcomes.

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