Probability and Statistics Quiz
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Questions and Answers

What is the probability that the balls drawn from basket A and basket B are of the same color?

  • 0.488
  • 0.352
  • 0.425 (correct)
  • 0.634

    • What is the differential equation of the family of parabolas having their vertices at the origin and foci on the x-axis?

  • x dy + y dx = 0
  • dy/dx – x = 0
  • 2x dx – y dy = 0
  • 2y dx + x dy = 0 (correct)

    • What is the area of the triangle whose vertices are (4,2,3), (7,2,4) and (3,-4,6)?

  • 13.5
  • 12.54 (correct)
  • 12.45
  • 15.3

    • What is the 12th term of the harmonic progression 1, 1/3, 1/5?

    <p>1/23</p> Signup and view all the answers

    What is the general solution of y’ – 2y = –8x?

    <p>y = 4x^2 + ce^(2x)</p> Signup and view all the answers

    What is the equation of the family of parabolas having their vertices at the origin and foci on the x-axis?

    <p>y^2 = 4px</p> Signup and view all the answers

    What is the area of the triangle formed by the lines x + y = 2, 2x - y = 1 and x - 2y = 3?

    <p>3</p> Signup and view all the answers

    What is the equation of the line passing through the points (1,2) and (3,4)?

    <p>y = x + 1</p> Signup and view all the answers

    What is the determinant of the matrix [(2, 3), (4, 5)]?

    <p>1</p> Signup and view all the answers

    What is the derivative of the function f(x) = 2x^2 + 3x - 4?

    <p>2x + 3</p> Signup and view all the answers

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