/*! 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 18 Express the indicated degree of ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Problem 18

Express the indicated degree of likelihood as a probability value between \(\boldsymbol{0}\) and \(\boldsymbol{I}\). Based on an Adecco survey of hiring managers who were asked to identify the biggest mistakes that job candidates make during an interview, there is a \(50-50\) chance that they will identify "inappropriate attire."

Short Answer

Expert verified
0.50

Step by step solution

01

Understand Probability Interpretation

The probability of an event is a measure of how likely it is for that event to occur. It ranges between 0 (impossible) and 1 (certain). A 50-50 chance indicates an equal likelihood of the event either occurring or not occurring.
02

Convert 50-50 Chance to Probability

A 50-50 chance means that there is an equal probability for both outcomes. Thus, the probability is 50%.
03

Express the Probability

To express the probability as a value between 0 and 1, convert 50% to its decimal form. Divide 50 by 100 to get 0.50.
04

Conclusion

The probability that the hiring managers will identify 'inappropriate attire' as the biggest mistake during an interview is 0.50.

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!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

probability interpretation
Probability interpretation is an essential concept in statistics and mathematics. It helps us quantify how likely it is for an event to occur. This likelihood ranges from 0 to 1.
A probability of 0 means the event is impossible, while a probability of 1 means the event is certain.
For example, the probability of flipping a fair coin and getting heads is 0.5, which can also be written as 50%.
Understanding this concept is the first step in interpreting the results of many statistical problems.
The Adecco survey example mentions a 50-50 chance, which indicates there is an equal likelihood of the hiring managers identifying
conversion of percentages
Converting percentages to probabilities is a crucial skill in statistics. A percentage represents a ratio out of 100.
In our example, we have a 50-50 chance, which translates to 50%.
To convert this percentage to a probability, you simply divide by 100.
This calculation gives us the probability expressed as a decimal between 0 and 1.

So, for the 50-50 chance in the Adecco survey:
  • Take 50%
  • Divide by 100
  • You get a probability of 0.50
This probability tells us that there's an equal chance for the event to occur or not occur. This simple conversion is remarkably useful for comparing different probabilities in a consistent format.
decimal form of probability
The decimal form of probability gives a clear, direct way to understand the likelihood of events. Decimal probabilities range from 0 to 1.
For instance, in the Adecco survey example, the probability of hiring managers identifying 'inappropriate attire' as the biggest mistake is 0.50 in decimal form.
This means there is a 50% likelihood of this event happening, making it very straightforward to interpret.
Writing probabilities as decimals helps in performing further mathematical operations and comparisons.
  • 0 means no chance
  • 0.5 means a 50-50 chance
  • 1 means certainty
In summary, understanding and using decimal probabilities is an essential skill for any student dealing with statistical data and probability problems.

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

In the New Jersey Pick 6 lottery game, a bettor selects six different numbers, each between 1 and 49. Winning the top prize requires that the selected numbers match those that are drawn, but the order does not matter. Do calculations for winning this lottery involve permutations or combinations? Why?

a. Five 鈥渕athletes鈥� celebrate after solving a particularly challenging problem during competition. If each mathlete high fives each other mathlete exactly once, what is the total number of high fives? b. If n mathletes shake hands with each other exactly once, what is the total number of handshakes? c. How many different ways can five mathletes be seated at a round table? (Assume that if everyone moves to the right, the seating arrangement is the same.) d. How many different ways can n mathletes be seated at a round table?

Express the indicated degree of likelihood as a probability value between \(\boldsymbol{0}\) and \(\boldsymbol{I}\).When making a random guess for an answer to a multiple choice question on an SAT test, the possible answers are \(a, b, c, d, e,\) so there is 1 chance in 5 of being correct.

Express the indicated degree of likelihood as a probability value between \(\boldsymbol{0}\) and \(\boldsymbol{I}\).Testing If you make a random guess for the answer to a true/false test question, there is a 50-50 chance of being correct.

Refer to the accompanying table showing results from a Chembio test for hepatitis Camong HIV-infected patients (based on data from a variety of sources). $$\begin{array}{|l|c|c|} \hline & \text { Positive Test Result } & \text { Negative Test Result } \\ \hline \text { Hepatitis C } & 335 & 10 \\ \hline \text { No Hepatitis C } & 2 & 1153 \\ \hline \end{array}$$ Negative Predictive Value Find the negative predictive value for the test. That is, find the probability that a subject does not have hepatitis C. given that the test yields a negative result. Does the result make the test appear to be effective?
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

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.