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Problem 2 (4 points) The Better Business Bureau conducts a survey of
30 people who recently hired an attorney. 17 of them say that they would
recommend their attorney to a friend. 8 say that they would not recommend
their attorney to a friend. And the remaining 5 say that they are not sure.
Three people are selected from this group of 30 people at random (This means
drawing every person with equal probability, but without replacement - the
same person cannot get drawn twice).
What is the probability that
a) All three would recommend their attorney to a friend?
b) The first would not, but the second and third would recommend their
attorney to a friend?

Respuesta :

francocanacari

The probability that all three would recommend their attorney to a friend is 18.19%, and the probability that the first would not, but the second and third would recommend their attorney to a friend is 8.56%.

Probabilities

Since the Better Business Bureau conducts a survey of 30 people who recently hired an attorney, and 17 of them say that they would recommend their attorney to a friend, while 8 say that they would not recommend their attorney to a friend, and the remaining 5 say that they are not sure, and then three people are selected from this group of 30 people at random, to determine what is the probability that A) all three would recommend their attorney to a friend, and B) the first would not, but the second and third would recommend their attorney to a friend, the following calculation must be performed:

A)

  • 17/30 x 17/30 x 17/30 = X
  • 0.5666 x 0.5666 x 0.5666 = X
  • 0.1819 = X

B)

  • 8/30 x 17/30 x 17/30 = X
  • 0.2666 x 0.5666 x 0.5666 = X
  • 0.0856 = X

Therefore, the probability that all three would recommend their attorney to a friend is 18.19%, and the probability that the first would not, but the second and third would recommend their attorney to a friend is 8.56%.

Learn more about probabilities in https://brainly.com/question/24217562

MrRoyal

Probabilities are used to determine the chances of events

  • The probability that all would recommend their attorney to a friend is 0.1675
  • The probability the first would not, but the second and third would recommend their attorney to a friend is 0.0893

The given parameters are:

n = 30 -- the sample size

Recommend = 17

Not recommend = 8

Not sure = 5

The probability that all would recommend their attorney to a friend is calculated as:

[tex]p = \frac{17}{30} * \frac{16}{29} * \frac{15}{28}[/tex]

Evaluate the product

[tex]p = 0.1675[/tex]

The probability the first would not, but the second and third would recommend their attorney to a friend is calculated as:

[tex]p = \frac{8}{30} * \frac{17}{29} * \frac{16}{28}[/tex]

[tex]p = 0.0893[/tex]

Read more about probability at:

https://brainly.com/question/25870256

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