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AP EAMCET20227 Jul 2022Evening ShiftMathematicsProbabilityActual

During the winter months, in a certain village in Scotland, the probability of a day having severe fog is 0.6 . The probability that in a given week there will be exactly two days with severe fog is

Options

  1. A6048 5^7
  2. B2016 5^7
  3. C3024 5^7
  4. D12096 5^7

Correct answer

A. 6048 5^7

Step-by-step solution

P( severe fog on a day )=0.6 . P( no severe fog on a day )=0.4 Total number of days =7 , P (exactly 2 days of sever fog) aligned & = ^7 C₂ (0.6)^2(0.4)^5 & = 21 9 32 5^7 = 6048 5^7 aligned

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