Chapter 5: Q 4.2. (page 323)

Government data show that $8 %$ of adults are full-time college students and that $30 %$ of adults are age $55$ or older. Since $(0.08) (0.30) = 0.024,$ can we conclude that about $2.4 %$ of adults are college students $55$ or older? Why or why not?

Short Answer

Expert verified

Yes, because the events are independent events.

Step by step solution

Step 1. Given Information

P (C o l l e g e s t u d e n t s) = 8 % = 0.08 P (A g e 55 o r o l d e r) = 30 % = 0.30 P (C o l l e g e s t u d e n t s a n d A g e 55 o r o l d e r) = 2.4 % = 0.024

Step 2. Concept Used

Two mutually exclusive events can never be independent since if one happens, the other is nearly surely going to happen as well.

Step 3. Calculation

$P (C o l l e g e s t u d e n t s a n d A g e 55 o r o l d e r) = P (C o l l e g e s t u d e n t s) \times P (A g e 55 o r o l d e r)$

As a result, the above-mentioned criteria has been met. As a result, it's possible to deduce that $2.4$ percent of individuals are $55$ or older college students.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Government data show that $8 %$ of adults are full-time college students and that $30 %$ of adults are age $55$ or older. Since $(0.08) (0.30) = 0.024,$ can we conclude that about $2.4 %$ of adults are college students $55$ or older? Why or why not?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Concept Used

Step 3. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Logic and Functions

Statistics

Calculus

Geometry

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Government data show that 8% of adults are full-time college students and that 30% of adults are age 55 or older. Since (0.08)(0.30)=0.024, can we conclude that about 2.4% of adults are college students55 or older? Why or why not?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Concept Used

Step 3. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Logic and Functions

Statistics

Calculus

Geometry

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Government data show that $8 %$ of adults are full-time college students and that $30 %$ of adults are age $55$ or older. Since $(0.08) (0.30) = 0.024,$ can we conclude that about $2.4 %$ of adults are college students $55$ or older? Why or why not?