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A die is tossed 50 times and μ , ν denotes the expected value of mean and variance respectively of number of times the face 4 appears, then

Options

  1. Aμ = 25 3 , ν = 125 18
  2. Bμ = 25 3 , ν = 125 6
  3. Cμ = 25 , ν = 125 6
  4. Dμ = 1 6 , ν = 5 6

Correct answer

A. μ = 25 3 , ν = 125 18

Step-by-step solution

n = 50 ,   p = 1 6 ,   q = 5 6 μ = n p = 50 6 = 25 3 v = n p q = 25 3 × 5 6 = 125 18

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