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Calculate P(A) in case P(A U B)= 0.6, P(A B) = 0.1 and P(B) = 0.2 Calculate P(A B) if we know P(A)=0.4, P(B) =

  1. Calculate P(A) in case P(A U B)= 0.6, P(A B) = 0.1 and P(B) = 0.2
  2. Calculate P(A B) if we know P(A)=0.4, P(B) = 0.9 and A and B are mutually exhaustive events.
  3. Calculate P(A B) if we know P(A)=0.8 and A and B are complementary events.
  4. Calculate P(A U B) in case P(A B) = 0.2, P(B) = 0.5 when A and B are independent events.
  5. Calculate the P(A|B) if P(A) = 0.6 and P(A B) = 0.3 if A and B are known to be independent.
  6. Sunshine Insurance offers life insurance to men age 95. Mortality tables indicate the likelihood of a 95-year-old man surviving another year is .90. If the policy is offered to ten men age 90 a. What is the probability all men survive the year? b. What is the probability that at least one survives?
  7. A basketball player scores 98% of his shots on average. What is the probability that he scores at least 19 successful shots tonight if he gets 20 shots?
  8. A drive through receives customers on an average rate of 3 per 20 minutes. What is the chance that they have 15 customers in the next hour?
  9. The chance that a salmon successfully jumps up the waterfall to upstream is 55%. We have a group of 8 salmon. a) What is the chance that none of them jump up successfully? b) What is the chance that at least 1 of them reach up-stream? c) Is "at least 1" complement of event "at most 1"?
  10. Consider the following table of events Eye color coffee tea Blue 5 6 Brown 7 1 Black 2 9 a) What is the probability that we choose a person who has brown eyes and drinks coffee? b) What is the probability that the person we choose at random either drinks tea or has black eyes? c) What is the probability that we choose a person who drinks tea if we know s/he has black eyes?

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