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JEE Math Practice Question

Let X be a random variable having binomial distribution B(7, p). If P(X = 3) = 5P(x = 4), then the sum of the mean and the variance of X is :

  1. A.$${105 \over {16}}$$
  2. B.$${7\over {16}}$$
  3. C.$${77\over {36}}$$
  4. D.$${49\over {16}}$$

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