/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 17 Briefly explain the three approa... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Problem 17

Briefly explain the three approaches to probability. Give one example of each approach.

Short Answer

Expert verified
The three approaches to probability are: Classical, which counts the favorable and total outcomes and assumes each outcome is equally likely; Frequency, which relies on historic data or repeated trials; Subjective, which involves personal judgment or estimation without set numerical values. Examples are rolling a dice for Classical, flipping a coin multiple times for Frequency, and predicting patient recovery by a doctor for Subjective.

Step by step solution

01

Classical Approach

The classical (also known as theoretical) approach to probability is often used when each outcome of an experiment is equally likely. This method considers the number of ways a specific event can happen and divides it by the total number of possible outcomes. For example, if you roll a fair six-sided die, the classical approach to probability can be used to calculate the probability of rolling a 3. Here, each outcome (1, 2, 3, 4, 5, 6) is equally likely. If we wanted to find the probability of rolling a 3, there is 1 way that this can happen (rolling a 3) and there are 6 possible outcomes. The probability is therefore \(\frac{1}{6}\).
02

Frequency (Empirical) Approach

The frequency (or empirical) approach is based on conducting a number of trials and recording the frequency of each outcome. The probability of an event happening is the frequency of the event occurring divided by the total number of trials. For instance, in flipping a coin 100 times, you might get 45 heads and 55 tails. Based on the frequency approach, the probability of getting heads is the number of heads divided by total flips, which is \(\frac{45}{100}\) = 0.45 or 45%.
03

Subjective Approach

The subjective approach to probability is based on a person's own judgement about the likelihood of an event happening. This approach is often used when there is lack of data or when it is impossible to perform all possible outcomes. For example, a doctor might use their experience and available medical knowledge to estimate the likelihood of a patient recovering from a disease. This likelihood will be the subjective probability.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Five percent of all items sold by a mail-order company are returned by customers for a refund. Find the probability that of two items sold during a given hour by this company, a. both will be returned for a refund b. neither will be returned for a refund Draw a tree diagram for this problem.

An appliance repair company that makes service calls to customers' homes has found that \(5 \%\) of the time there is nothing wrong with the appliance and the problem is due to customer error (appliance unplugged, controls improperly set, etc.). Two service calls are selected at random, and it is observed whether or not the problem is due to customer error. Draw a tree diagram. Find the probability that in this sample of two service calls a. both problems are due to customer error b. at least one problem is not due to customer error

The probability that a student graduating from Suburban State University has student loans to pay off after graduation is .60. The probability that a student graduating from this university has student loans to pay off after graduation and is a male is \(.24\). Find the conditional probability that a randomly selected student from this university is a male given that this student has student loans to pay off after graduation.

A Wired Equivalent Privacy (WEP) key is a security code that one must enter in order to access a secure WiFi network. The characters in the key are used from the numbers 0 to 9 and letters from \(\mathrm{A}\) to \(\mathrm{F}\), which gives 16 possibilities for each character of the key. Note that repeats are allowed, that is, the same letter or number can be used more than once in a key. A WEP key for a WiFi network with 64 -bit security is 10 characters long. a. How many different 64 -bit WEP keys can be made by using the given numbers and letters? b. A specific 64 -bit network has a WEP key in which the 2 nd, 5 th, 8 th, and 9 th characters are numbers and the other 6 characters are letters. How many different WEP keys are possible for this network? c. A hacker has determined that the WiFi network mentioned in part b will lock him out if he makes 20,000 unsuccessful attempts to break into the network. What is the probability that the hacker will be locked out of the network?

Terry \& Sons makes bearings for autos. The production system involves two independent processing machines so that each bearing passes through these two processes. The probability that the first processing machine is not working properly at any time is \(.08\), and the probability that the second machine is not working properly at any time is \(.06\). Find the probability that both machines will not be working properly at any given time.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.