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Probability — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsProbability1 Mark
MCQ
In a binomial distribution, the probability of getting success is $\frac{1}{4}$ and standard deviation is $3.$ Then, its mean is:
  • A
    $6$
  • B
    $8$
  • ✓
    $12$
  • D
    $10$
✓

Answer

Correct option: C.
$12$
$\text{p}=\frac{1}{4},\sqrt{\text{npq}}=3$
$\Rightarrow\text{q}=\frac{3}{4},\text{npq}=9$
$\Rightarrow$Mean $= np=\frac{9}{\text{q}}$
$\Rightarrow$Mean$=9\times\frac{4}{3}=12$

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