Statistics - Probabilities

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41. A restaurant serves two special dishes A and B to its customers consisting of 60% men and 40% women. 80% of men order dish A and the rest B and 70% women order dish A and the rest B. In what ratio of A to B should the restaurant prepare the dishes?

  • Option : A
  • Explanation : Ratio of A and B = 60 x 80 + 40 x 70 : 60 x 20
    +40 x 30

    = 76 : 24
    = 19: 6

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42. If A and B are mutually exclusive and
P (A ∪ B) = P (A) + P (B), then
P(A/A ∪ B) =

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43. If P(A) = 0, then

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44. The mean of a set of number is x'. If each number is increased by λ, then mean of the new set is

  • Option : B
  • Explanation : "When each item is increased by λ, then mean is also increased by λ"
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45. If P(A) = P(B'), then

  • Option : A
  • Explanation : P(A) = P(B') P(A) = 1 - P(B) P(A) + P(B) = 1 P(A ∪ B) - P(A ∩ B) = 1 = P(S) Hence, A ∪ B = S only if A ∩ B = φ i.e. A = B' only if A ∩ B = φ
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