Black Cars Use subjective probability to estimate the probability of randomly selecting a car and getting one that is black.

Short Answer

Expert verified

The estimated probability value that the randomly selected car is black is between 0.10 and 0.30.

Step by step solution

01

Given information

It is required to estimate the probability of randomly selecting a black car.

02

Subjective probability 

Subjective probability refers to estimating the probability value of an event using past knowledge. It is purely based on one’s opinion and is not obtained from any experimental/actual data.

The probability value estimated using subjective judgement can vary from person to person.

Now, the event considered is the selection of a black car.

Based on the available information, approximately 19% of the cars in North America are black.

It can be said that out of 100 cars, the colour of approximately between 10 to 30 cars is likely to be black.

Therefore, the estimated probability value that the randomly selected car will be black should be between 0.10 and 0.30.

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 Vaia!

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

Probability from a Sample Space. In Exercises 33–36, use the given sample space or construct the required sample space to find the indicated probability.

Three Children Use this sample space listing the eight simple events that are possible when a couple has three children (as in Example 2 on page 135): {bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg}. Assume that boys and girls are equally likely, so that the eight simple events are equally likely. Find the probability that when a couple has three children, there is exactly one girl.

In Exercises 17–20, refer to the accompanying table showing results from a Chembio test for hepatitis C among HIV-infected patients (based on data from a variety of sources).

Positive Test Result

Negative Test Result

Hepatitis C

335

10

No Hepatitis C

2

1153

False Positive Find the probability of selecting a subject with a positive test result, given that the subject does not have hepatitis C. Why is this case problematic for test subjects?

New Jersey Lottery Let A denote the event of placing a $1 straight bet on the New Jersey Pick 3 lottery and winning. There are 1000 different ways that you can select the three digits (with repetition allowed) in this lottery, and only one of those three-digit numbers will be the winner. What is the value of? What is the value ofPA¯?

In Exercises 9–20, use the data in the following table, which lists drive-thru order accuracy at popular fast food chains (data from a QSR Drive-Thru Study). Assume that orders are randomly selected from those included in the table.

McDonald’s

Burger King

Wendy’s

Taco Bell

Order Accurate

329

264

249

145

OrderNotAccurate

33

54

31

13

Fast Food Drive-Thru Accuracy If three different orders are selected, find the probability that they are all from Wendy’s

In Exercises 13–20, express the indicated degree of likelihood as a probability value between 0 and 1.

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.

See all solutions

Recommended explanations on Math Textbooks

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.

Sign-up for free