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  3. (a) if a and b are independent events with p(a) =

(a) If A and B are independent events with P(A) = 0.6 and P(B) = 0.7,...

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Statistics

  1. (a) If A and B are independent events with P(A) = 0.6 and P(B)= 0.7, find P (A or B).

(b) A randomly selected student takes Biology or Math withprobability 0.8, takes Biology and Math with probability 0.3, andtakes Biology with probability 0.5. Find the probability of takingMath.

  1. A box contains 4 blue, 6 red and 8 green chips.
  1. In how many different ways can you select 2 blue, 3 red and 5green chips? (Give the exact numerical value).
  1. Draw two chips in a row without replacement. Find theprobability that both chips are green.
  1. Based on the following table, compute the probabilitiesbelow:

YES

NO

NO OPINION

totals

MEN

50

30

20

100

WOMEN

120

40

40

200

totals

170

70

60

300

P (Women and Yes) =

P (Men | Yes) =

P (No | Women) =

P (Men or No) =

Are Men and No Opinion mutually exclusive?

Are Men and No Opinion independent? Justify your answerby an appropriate computation.

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