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AP EAMCET201921 Apr 2019Evening ShiftMathematicsStatisticsActual

A die is thrown twice. If getting a number greater than four on the die is considered a success, then the variance of the probability distribution of the number of successes is

Options

  1. A2 3
  2. B1 3
  3. C4 9
  4. D8 9

Correct answer

C. 4 9

Step-by-step solution

The numbers that are greater than 4 on the die is 5 ,   6 . The probability of successes is, p = 2 6 = 1 3 Now, the variance of probability distribution, σ 2 = n p q = 2 × 1 3 × 2 3 = 4 9

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