1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kobotan [32]
3 years ago
9

A recent survey shows that the probability of a college student drinking alcohol is 0.6. further, given that the student is over

21 years old, the probability of drinking alcohol is 0.8. it is also known that 30% of the college students are over 21 years old. what is the probability of drinking alcohol and being over 21 years old? 0.66 0.36 0.24 0.42
Mathematics
2 answers:
Murrr4er [49]3 years ago
8 0

Answer:

0.24

Step-by-step explanation:

These events are not mutually exclusive; this means they can happen at the same time.

For two events A and B that are not mutually exclusive,

P(A and B) = P(A) * P(B|A)

Let A be the event "over 21 years old" and B be the event "drinks alcohol".  

The probability that a student is over 21 years old is 0.3; this is because 30% of the students are over 21 years old.

The probability that a student drinks alcohol given they are over 21 is 0.8.

This gives us

P(A and B) = 0.3(0.8) = 0.24

dlinn [17]3 years ago
5 0

The probability of drinking alcohol and being over 21 years old is \boxed{0.24{\text{ or 24\% }}}. Option (c) is correct.

Further Explanation:

Given:

The probability of a college student drinking alcohol is 0.6.

The probability of drinking alcohol is 0.8.

30\% of the college students are over 21 years old.

Explanation:

Consider X be the event that a student is over 21 years old.

Consider Y be the event that a student drinks alcohol.

The probability of event X can be expressed as follows,

P\left( X \right) = 0.3

The probability of drinking alcohol is 0.8.

The probability of drinking alcohol and being over 21 years can be obtained  as follows,

\begin{aligned}{\text{Probability}}&= P\left( X \right) \times P\left( {Y/X} \right)\\&= 0.3 \times 0.8\\&= 0.24\\\end{aligned}

The probability of drinking alcohol and being over 21 years old is \boxed{0.24{\text{ or 24\% }}}. Option (c) is correct.

Learn more:

  1. Learn more about normal distribution brainly.com/question/12698949
  2. Learn more about standard normal distribution brainly.com/question/13006989
  3. Learn more about confidence interval of meanhttps://brainly.com/question/12986589

Answer details:

Grade: College

Subject: Statistics

Chapter: Conditional Probability

Keywords: Probability, students, alcohol, survey, recent, college, drinking alcohol, college student, 30% of college student, 21 years old, being over, 0.6, 0.8.

You might be interested in
If 1=3<br><br>2=3<br><br>3=5<br><br>4=4<br><br>5=4<br><br>Then, 6=?
ELEN [110]

9514 1404 393

Answer:

  3

Step-by-step explanation:

For "a = b" it appears that the intention is b = f(a). It appears that f(a) is the number of letters in the spelling of 'a'.

  "One" has 3 letters

  "Two" has 3 letters

  "Three" has 5 letters

  "Four" has 4 letters

  "Five" has 4 letters

  "Six" has 3 letters

so, 6 = 3.

_____

<em>Additional comment</em>

This appears to be a non-standard use of the equal sign, in which it has no relation to the usual meaning of "equals." Using standard symbols with non-standard meanings should generally be avoided, unless the intended meaning is explained.

5 0
3 years ago
Help, someone answer quixk plsss tyyyy
Akimi4 [234]

The answer is A.

The numbers under the x and y represent the domain (x) and range(y) for ordered pairs. The -5 (under x) has the arrow toward the 3 (under y) so the answer for that pair would be (-5, 3)

3 0
3 years ago
The adjusted trial balance of Smith Sign Company follows:
Oksana_A [137]

Following are the general entry to the given question:

For Question 1:

Date             Account Titles and Explanation                   Dr              Cr

31-Jan-2024              Revenue Service                      $17,500  

                                   Summary of Income                                    $17,500

                             (Finishing the revenue account)  

31-Jan-2024     Summary of Income                        $7,100  

                                  Expense of Salary                                     $3,600

                                   Expense on rent                                             $1,800

                        Expense of Depreciation - equipment                   $300

                               Expense on Supplies                                            $400

                                 Expense on Utilities                                           $1,000

                           (To close the expenditure account)  

31-Jan-2024    Summary of Income                           $10,400  

                                Retained Earnings                                    $10,400

                 (To bring net income into line with retained profits)  

31-Jan-2024           Retained Earnings                       $1,000  

                                             Dividend                                             $1,000

               (To close net dividend to retained earnings)  

For Question 2:

A net income of $10,400 is generated. They may compute it by subtracting total expenses from the entire revenue.

Total Revenue= $17,500

Total Expenses=$7,100

\text{Net Income= Total Revenue-Total Expenses}

                  \bold{= \$17,500 - \$7,100} \\\\ \bold{=\$10,400}

  • Please find the complete question in the attachment file.

Learn more:

brainly.com/question/14695332

4 0
2 years ago
The table below represents ordered pairs that satisfy the functions f(x) and g(x). A 3-column table has 4 rows. Column 1 is labe
allsm [11]

Answer:

B and D are the correct answers.

Step-by-step explanation:

9 0
3 years ago
Read 2 more answers
Which of the following represents the difference between the central angles of the above regular polygons? Round to the nearest
solong [7]

Answer:

its 15.43

Step-by-step explanation:

you didnt put a picture for the polygons but im pretty sure this is from math nation.

6 0
2 years ago
Other questions:
  • In 1935 there were 15,295 banks in the United States in 2003 there were 9,182 banks what is the percent of change
    12·1 answer
  • You have piano lessons every 7 days and tuba lessons every 3 days. Today you have both lessons. In how many days will you have b
    9·2 answers
  • Why does the government charge high taxes on gasoline?
    8·2 answers
  • Which of the following could be an example of a function with a domain
    14·2 answers
  • Which fractions are greater than -2/9 ?Choose exactly two answers that are correct. A. -7/12 B. -1/15 C. -1/3 D. -1/9
    7·1 answer
  • There are 86400 frames of animation in 1 hour of anime.How many frames are there per second
    7·1 answer
  • Help please please Please pls
    15·1 answer
  • Hey, if anyone could h3lp me with this it would b gr8 !!
    14·1 answer
  • line s has a slope of -9/5. line t has a slope of 5/9. are line s and line t parallel or perpendicular
    12·1 answer
  • Slope of (0,1) and (4,3)
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!