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Probability Problems

Probability Problems. chapter 15 part 2 General addition rule Testing for independence Tree diagram. Police report that 78% of drivers stopped on suspicion of drunk driving are given a breath test, 36% a blood test, and 22% both.

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Probability Problems

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  1. Probability Problems chapter 15 part 2 General addition rule Testing for independence Tree diagram

  2. Police report that 78% of drivers stopped on suspicion of drunk driving are given a breath test, 36% a blood test, and 22% both. What is the probability that a randomly selected DWI suspect is given: (use a venn diagram for general addition rule) 1- a test? 2- a blood or breath test but not both? 3- neither? (use a table) 4- Are giving a blood and breath test mutually exclusive? 5- Are giving the two tests independent?

  3. Blood Test Breath Test Both tests 14% 22% 56% 8% No Test

  4. What is the probability that a randomly selected DWI suspect is given: 1- a test? 2- a blood or breath test but not both? 3- neither? Breath Test Blood Test 8% Both tests 14% 22% 56% No Test

  5. BREATH TEST BLOOD TEST Breath Test Blood Test 8% Both tests 14% 22% 56% No Test

  6. BREATH TEST BLOOD TEST What is the probability that a randomly selected DWI suspect is given: 4- Are giving a blood and breath test mutually exclusive (DISJOINT)? 5- Are giving the two tests independent?

  7. A TB test is 99% accurate. If the incidence of having TB in the US is 5 in 100,000 or 0.00005 and the probability of having a false negative test is 0.001. What is the probability of actually having TB if you test positive for it?

  8. -P (+ | TB) = 0.99 -P(TB in the US) = 0.00005 -P( - | TB) = 0.001 -What is the probability of actually having TB if you test positive for it?

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