Question

Find the indicated complements. In a Harris survey, adults were asked how often they typically travel on commercial flights, and it was found that $P(N)=0.330$, where $N$ denotes a response of "never." What does $P(\bar{N})$ represent, and what is its value?

Name: Problem 7, Chapter 4: Essentials of Statistics
Uploaded: 2022-09-25T22:46:26-08:00
Duration: 39 s
Channel: Kari Hasz
Description: Find the indicated complements. In a Harris survey, adults were asked how often they typically travel on commercial flights, and it was found that P(N)=0.330, where N denotes a response of "never." What does P(N̅) represent, and what is its value?

   Find the indicated complements.
 In a Harris survey, adults were asked how often they typically travel on commercial flights, and it was found that $P(N)=0.330$, where $N$ denotes a response of "never." What does $P(\bar{N})$ represent, and what is its value?

Essentials of Statistics

Mario F. Triola 6th Edition

Chapter 4, Problem 7

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Solved by Expert Kari Hasz

09/25/2022

Step 1

In probability, the bar over a variable represents the complement of that event. So, $P(\bar{N})$ represents the probability of the event that is the opposite of "never" or in other words, the probability of randomly selecting someone with a response different Show more…

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Find the indicated complements. In a Harris survey, adults were asked how often they typically travel on commercial flights, and it was found that $P(N)=0.330$, where $N$ denotes a response of "never." What does $P(\bar{N})$ represent, and what is its value?

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Key Concepts

Complement of an Event

In probability, the complement of an event refers to the set of all outcomes in the sample space that are not part of the event. This means if an event A occurs, then the complement of A, noted as ¬A or A', represents all scenarios where the event does not occur.

Complement Rule

The complement rule is a fundamental principle stating that the probability of an event’s complement is equal to one minus the probability of the event itself (P(¬A) = 1 - P(A)). This rule helps in calculating probabilities for the opposite scenario when the probability of the event is known.

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