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Binomial Distribution — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsBinomial Distribution1 Mark
MCQ
For a binomial distribution, n = 5. If P(X = 4) = P(X = 3) then p = ___________
  • A
    $\frac{1}{3}$
  • B
    $\frac{3}{4}$
  • C
    $1$
  • ✓
    $\frac{2}{3}$
✓

Answer

Correct option: D.
$\frac{2}{3}$
(d) $\frac{2}{3}$
Hint $: P(X=4)=P(X=3)$
$\therefore{ }^5 \mathrm{C}_4 p^4 q={ }^5 \mathrm{C}_3 p^3 q^2$
$\therefore 5 p=10 q=10(1-p) $
$\therefore p=2-2 p \quad \therefore p=\frac{2}{3}$
 

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