Question

In: Statistics and Probability

Two psychologists are studying the IQs of a group of business professionals. Let A be the...

Two psychologists are studying the IQs of a group of business professionals.

  • Let A be the event that a professional's IQ is greater than 115, with P(A)=16%.
  • Let B be the event that a professional's IQ is between 115 and 130, with P(B)=14%.

The IQs of different professionals are independent events. What is the probability that two random professionals will be chosen and one of their IQs is greater than 115 and the other is between 115 and 130?

Give your answer as a decimal, rounded to three decimal places.

Solutions

Expert Solution

P(two random professionals will be chosen and one of their IQs is greater than 115 and the other is between 115 and 130) = 2C1 * P(A) * P(B) = 2 * 0.16 * 0.14 = 0.0448 = 0.045 (ans)

                                                                                                                                                                                                                                                                                                                                                                                         

orchestra answered 2 years ago
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