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Probability — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsProbability1 Mark
MCQ
If $X$ follows a binomial distribution with parameter $\text{n}=100$ and $\text{p}=\frac{1}{3},$ then $P(X = r)$ is maximum when $r =$
  • A
    $32$
  • B
    $34$
  • ✓
    $33$
  • D
    $31$
✓

Answer

Correct option: C.
$33$
$\text{n}=100,\text{p}=\frac{1}{3}$
$\Rightarrow\text{q}=\frac{2}{3}$
$\text{np}=\frac{100}{3}=33+\frac{1}{3}$
$\Rightarrow $ Probability is maximum at $33.$

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