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
saw5 [17]
3 years ago
6

Visa Card USA studied how frequently young consumers, ages 18 to 24, use plastic (debit and credit) cards in making purchases (A

ssociated Press, January 16, 2006). The results of the study provided the following probabilities. (Note: You may assume that Visa only issues credit cards to individuals 18 years or older.) U.S. Census Bureau data show that 14% of the consumer population is 18 to 24 years old. The probability that a consumer uses a plastic card when making a purchase is .37. Given that the consumer uses a plastic card, there is a .19 probability that the consumer is 18 to 24 years old. Given that the consumer uses a plastic card, there is a .81 probability that the consumer is more than 24 years old. Given the consumer is 18 to 24 years old, what is the probability that the consumer uses a plastic card (to 4 decimals)?
Mathematics
1 answer:
umka2103 [35]3 years ago
4 0

Answer:

Given the consumer is 18 to 24 years old, there is 37% probability that he uses a plastic card.

Step-by-step explanation:

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

P = \frac{P(B).P(A/B)}{P(A)}

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

In this problem, we have:

What is the probability of the consumer using a plastic card, given that the consumer is 18 to 24 years old.

The problem states that the probability that a consumer uses a plastic card when making a purchase is .37, so P(B) = 0.37

P(A/B) is the probability that the consumer being 18 to 24 years old, given that he uses a plastic card. The problem states that this probability is .19. So P(A/B) = 0.19

P(A) is the probability that the consumer is 18 to 24 years old. There is a .81 probability that the consumer is more than 24 years old. So there is a .19 probability that he is 18 to 24 years old. So P(A) = 0.19

The probability is

P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.37*0.19}{0.19} = 0.37

Given the consumer is 18 to 24 years old, there is 37% probability that he uses a plastic card.

You might be interested in
At a local restaurant, the health inspector visits every 7 days, and the fire inspector visits every 12 days.
Svetllana [295]
They will both come on the 84th day
8 0
3 years ago
What is the value of x? Round to the nearest tenth(1 decimal place)​
liraira [26]

Answer:

x ≈ 15.0 ft

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Trigonometry</u>

  • tan∅ = opposite over adjacent

Step-by-step explanation:

<u>Step 1: Define</u>

Angle = 28°

Opposite leg of angle = 8 ft

Adjacent leg of angle = x ft

<u>Step 2: Find </u><em><u>x</u></em>

  1. Substitute:                                        tan28° = 8/x
  2. Multiply <em>x </em>on both sides:                 xtan28° = 8
  3. Divide tan28° on both sides:          x = 8/tan28°
  4. Evaluate:                                          x = 15.0458
  5. Round:                                              x ≈ 15.0 ft
6 0
3 years ago
Find the missing length of the triangle.
Margaret [11]

Answer:

B=5.44 i think hopefully

4 0
2 years ago
For the 1,000-meter running event, Abby's mean time is 4.5 minutes with a standard deviation of 0.75 minutes. For the 800-meter
Lilit [14]

Answer:

He performed better in the 800 m race

Step-by-step explanation:

Obtain the standardized score for each event :

Zscore = (score - mean) / standard deviation

1000 meter :

Mean = 4.5 ; Standard deviation = 0.75 ; x = 4.1

Zscore = (4.1 - 4.5) / 0.75

Zscore = - 0.4 / 0.75 = - 0.5333

800 meter :

Mean = 3.2 ; Standard deviation = 0.4 ; x = 3

Zscore = (3 - 3.2) / 0.4

Zscore = - 0.2 / 0.4 = - 0.5

-0.5 > - 0.533

Hence, he performed better in the 800 m race

3 0
3 years ago
Read 2 more answers
To ride a horse at the state fair costs 2$ per minute. Pablo buys a 16 minute ride. Next time her plans to ride 25% longer. How
Mariana [72]

Answer:

40 dollars

Step-by-step explanation:

25% of 16 minutes is 4 mins. 16+4=20 mins.

so 20*2=40 dollars

6 0
3 years ago
Other questions:
  • A coin is tossed 2 times. find the probability that all 2 tosses are tails
    15·1 answer
  • Approximately how many degrees are in the measure of an interior angle of a regular eight sided polygon? 45 135 180 225
    10·2 answers
  • finn divided a 5-pound bag of flour into 3 equally-sized containers. what fraction of pound of flour did he put into each contai
    11·1 answer
  • Help please asap!!!<br><br> please:(
    10·2 answers
  • I need to knw ASAP PLZ HELP ME OUT.
    12·2 answers
  • I need help with this one
    10·1 answer
  • Can anyone help me find <br>2cm of a cube pls its urgent​
    14·1 answer
  • The sum of two numbers is 14 and their difference is 4. What are the two numbers (02 6 8 Larger number Smaller number​
    7·1 answer
  • The equation for the line of best fit is f(x) ≠1. 8x â’ 5. 4 for the set of values in the table. A 2-column table with 7 rows.
    5·1 answer
  • Six mini cakes and 10 cookies cost
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!