Question

The random variable \(X \sim \text{Bin}(11,p)\). If \(P(X=8)=P(X=7)\), then \(p=\)

• A. \(\frac{2}{3}\)
• B. \(\frac{1}{3}\)
• C. \(\frac{3}{4}\)
• D. \(\frac{1}{4}\)

Hint:

For equality of consecutive binomial terms: \[ \boxed{ \frac{P(r+1)}{P(r)}=\frac{n-r}{r+1}\cdot\frac{p}{1-p} } \] Use ratio method to solve faster in exams.

Answer 1

The Correct Option is C