Recent content by crotical

  1. C

    Is P(A-B) = P(A) -P(B)Here p is the probability function

    I took S here as universal set
  2. C

    Is P(A-B) = P(A) -P(B)Here p is the probability function

    Is this proof valid Given P(A) and P(B) are independent , prove P(A) and P(B') independent too. P(A∩B) = P(A)P(B) P(A∩B) = P(A)P(S-B') =P(A)(1-P(B')) =P(A)-P(A)P(B') P(A∩B)=P(A)-P(A)P(B') P(A∩(S-B'))=P(A)-P(A)P(B') P(A-A∩(B'))=P(A)-P(A)P(B') P(A)-P(A∩B')=P(A)-P(A)P(B') P(A∩B')=P(A)P(B')
  3. C

    Simple rearranging of an equation

    You need to only worry when b=0 , as division by 0 is not defined.
  4. C

    Simple rearranging of an equation

    You can definitely divide by b
  5. C

    Is P(A-B) = P(A) -P(B)Here p is the probability function

    Is P(A-B) = P(A) -P(B) Here p is the probability function Please help
  6. C

    Sloshing in a Rectangular Container: Finding Time Period

    Tiny ?
  7. C

    Sloshing in a Rectangular Container: Finding Time Period

    Water is in a cup , find SHM of the surface , if slightly displaced
  8. C

    Sloshing in a Rectangular Container: Finding Time Period

    So that means , no help ?
  9. C

    Sloshing in a Rectangular Container: Finding Time Period

    Then what should i add to the Energy equation
  10. C

    Sloshing in a Rectangular Container: Finding Time Period

    Homework Statement A rectangular container partly filled with water up to height , after being slightly disturbed , the urface of water begins to slosh . Assume that the water surface remains practically flast during sloshing , find the time period of the sloshing mode. take width to be...