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Discrete Random Variables (DRV) - Binomial Probabilities Using the Probability Mass Function

Discrete Random Variables (DRV) - Binomial Probabilities Using the Probability Mass Function

Given that \(X\sim\mathrm{B}(12,0.25)\), without using the GC, find

  1. \(\mathrm{P}(X=5)\)
  2. \(\mathrm{P}(X<2)\)
  3. \(\mathrm{P}(6\le X<8)\)
  4. \(\mathrm{P}(X\ge 1)\)

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Answer:(i) \(0.103\) (ii) \(0.158\) (iii) \(0.0516\) (iv) \(0.968\)

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