A specific brand name has an 80% recognition rate. ten people are randomly surveyed in an area to determine if the rate is valid. what is the probability that exactly 8 people recognize the brand?

Respuesta :

With the information given in the problem, we know that 80% of the time the brand will be recognized.

As we know, 8/10 is the same thing as 80%.

The probability that exactly 8 people will recognize the brand is 100%.

Let me know how this works out.

The correct statement is that the probability of 8 people recognizing the brand is 100 percent as the recognition rate is given as eighty percent in the example above.

However, in certain observations a proper probability is to be calculated with use of the known formula of probability by using the provided information.

Probability

  • Probability is a chance of occurrence or non-occurrence of an event from the set of total observations that are provided in the data. Here, it has been provided that recognition rate is 80%.

  • Let, probability of people be x, we can say that

  • [tex]p(x)= 0.8\\\\\rm 10C8(0.8)^4^x ^0^.^2[/tex]

  • So, the probability is calculated as 0.4096

Hence, the probability that 8 out of 10 people recognize the brand name when the recognition rate is 80% is 40.96% people out of 10 people. So, 4.1 out of 10 people will recognize the brand eight times.

Learn more about probability here:

https://brainly.com/question/795909

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