Question: A certain test called SleepCheck is a survey that an individual takes to determine whether or not they have a sleeping disorder. Let's suppose that

A certain test called SleepCheck is a survey that an individual takes to determine whether or not they have a sleeping disorder. Let's suppose that a random individual comes into our clinic to take the SleepCheck test. Below are some important facts:

  • We know that 50% of individuals who enter our clinic to take the SleepCheck surveyhave a sleeping disorder.
  • If a person has a sleeping disorder, the SleepCheck test correctly identifies this fact 90% of the time.
  • If a person doesn't have a sleeping disorder, the SleepCheck test correctly identifies this fact 60% of the time.

1.Suppose Bubba Jeffries walks into the clinic to take the SleepCheck test.

What is the probability that Bubba Jeffries doesn't have a sleeping disorder?

2.Suppose Bianca Bianchi walks into our clinic to take the SleepCheck test. What is the probability that Bianca doesn't have a sleep disorder, but the SleepCheck test says that she does have a sleep disorder?

3.Suppose Bjorn Biloxi walks into the clinic to take the SleepCheck test. What is the probability that Bjorn Biloxi's resultfrom the test is that Bjorn has a sleep disorder?

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