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Question 1 of 5 A blood test is 99% effective in detecting a certain disease when the disease is present

Statistics Jan 21, 2021

Question 1 of 5

A blood test is 99% effective in detecting a certain disease when the disease is present. However, the test also yields a false-positive result for 2% of the healthy patients tested. Suppose 0.5% of the population has the disease. Find the conditional probability that a randomly tested individual actually has the disease given that his or her test result is positive. Select the nearest number.
 
  •  A. 0.1
  •  B. 0.2
  •  C. 0.3
  •  D. 0.4
  •  E. 0.5
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Question 2 of 5

If P(A) = 0.3, P(B) = 0.4, and P(A|B) = 0.5, then P(A or B) is
 
  •  A. 0.5
  •  B. 0.7
  •  C. 0.2
  •  D. 0.12
  •  E. 0.3
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Question 3 of 5

When the weather is clear, the sharpshooter can hit the target with probability 0.9; when it is foggy, the probability drops to 0.6. According to weather forecast, at the time of competition tomorrow the weather will be clear with probability 0.8, and will be foggy with probability 0.2. What is the probability that the sharpshooter will hit the target at the competition tomorrow?
 
  •  A. 0.72
  •  B. 0.84
  •  C. 0.75
  •  D. 0.66
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Question 4 of 5

Which of the following pair of events would be the best example of two independent events?
 
  •  A. A: New York Yankees win World Series in 2014. B: Boston Red Sox win World Series in 2014.
  •  B. A: It rains tomorrow. B: It rains more than 2 inches tomorrow.
  •  C. A: USA swim team wins 4x100 freestyle relay in the next Olympics. B: USA track and field team wins 4x100 sprint relay in the next Olympics.
  •  D. A: Dow Jone index goes up tomorrow. B: NASDAQ index goes up tomorrow.
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Question 5 of 5

Each time a basketball player attempts a free throw, he will make it with probability 0.8. Suppose the player attempts 2 free throws, what is the probability that he will make exactly 1 of them?
 
  •  A. 0.36
  •  B. 0.16
  •  C. 0.32
  •  D. 0.64
  •  E. 0.96
  •  F. 0.04

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