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Probability

Probability. Review . Basic Concepts. How many victims were in the category (B or G’)?. What is the probability that a randomly selected victim would have been at least 60 years old and have had a BAC level of at least .10?. Addition Rules. For three mutually exclusive events: P (A) = 0.3

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Probability

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  1. Probability Review

  2. Basic Concepts How many victims were in the category (B or G’)? What is the probability that a randomly selected victim would have been at least 60 years old and have had a BAC level of at least .10?

  3. Addition Rules • For three mutually exclusive events: • P (A) = 0.3 • P (B) = 0.6 • P (C) = .01 What is the P (A or B or C)? What is the P (A or C)?

  4. Addition Rules What is P(A or D)? What is P(B or C or G)?

  5. Multiplication Rules A study by the US Energy Information Administration (2001) found that: • 85% of households w/ income of <$10,000 did not own a dishwasher • 20% of households w/ income of >$50,000 did not own a dishwasher If one household is randomly selected from each of the income groups, what is the probability: Neither household owns a dishwasher? Only the lower income household owns a dishwasher? Only the higher income household owns a dishwasher?

  6. Multiplication Rules A fair coin is tossed three times. What is the probability the outcome will be: Heads – Tails – Heads?

  7. Multiplication Rules • A machine has 16 working parts. • Each part has P(.99) of working for at least 3 years. • Parts fail independently, but if one part breaks, the machine stops working. What’s the probability the machine will work for at least 3 years?

  8. Counting Rules • Next week, 3 teachers will be absent from classes. There are 6 substitutes available to fill these 3 positions. How many different combinations are possible?

  9. Counting Rules • A sales representative has 35 customers in his territory and plans to visit 20 of them on his next trip. In how many different orders can he visit 20 customers?

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