In a survey, 169 respondents say that they never use a credit card, 12527 say that they use it sometimes, and 2834 say that they use it frequently. Find the probability that a randomly selected person uses a credit card frequently (Round to 4 decimals) then take that result and decide whether it is Likely or Unlikely (ONLY TYPE IN THE WORD!) for someone to use a credit card frequently.

Respuesta :

Answer:

Probability: 0.1825 or 18.25%  .......  Unlikely

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Probability problems.

To start of we need to calculate the total amount of respondents that took the survey. We do this by adding all the answers together.

169 + 12,527 + 2,834 = 15,530 total people

Now that we know the total amount of people we can calculate the probability of each response by dividing the amount of people that had that response by the total amount of people that took the survey.

Never Used: [tex]\frac{169}{15,530} = 0.0109 = 1.09%[/tex]

Sometimes Used: [tex]\frac{12,527}{15,530} = 0.8066 = 80.66%[/tex]

Frequently used: [tex]\frac{2834}{15,530} = 0.1825 = 18.25%[/tex]

So we can see that the probability of a randomly selected person using a credit card frequently is 0.1825 or 18.25%

Unlikely

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