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In a recent poll, 13% of all respondents said that they were afraid of heights. Suppose this percentage is true for all Americans. Assume responses from different individuals are independent.
a. What is the probability of having 3 randomly selected Americans all say that they are afraid of heights?
b. What is the probability of having none of the 3 randomly selected Americans say that they are afraid of heights?
c. What is the probability of having at least 1 of the 3 randomly selected Americans say that they are afraid of heights?

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maca6092

Answer:

A

Step-by-step explanation:

I think is a

francocanacari

A) The probability of having 3 randomly selected Americans all say that they are afraid of heights is 0.21%.

B) The probability of having none of the 3 randomly selected Americans say that they are afraid of heights is 65.85%.

C) The probability of having at least 1 of the 3 randomly selected Americans say that they are afraid of heights is 9.83%.

Given that in a recent poll, 13% of all respondents said that they were afraid of heights, supposing this percentage is true for all Americans and responses from different individuals are independent, to determine A) what is the probability of having 3 randomly selected Americans all say that they are afraid of heights; B) what is the probability of having none of the 3 randomly selected Americans say that they are afraid of heights; and C) what is the probability of having at least 1 of the 3 randomly selected Americans say that they are afraid of heights; the following calculations must be performed:

A)

  • 0.13 x 0.13 x 0.13 = X
  • 0.0021 = X
  • 100X = 0.21

B)

  • 100 - 13 = 87
  • 0.87 x 0.87 x 0.87 = X
  • 0.6585 = X
  • 100X = 65.85

C)

  • 0.87 x 0.87 x 0.13 = X
  • 0.0983 = X
  • 100X = 9.83

Learn more about probability in https://brainly.com/question/18721089

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