CUET · MATHS · PYQ PAPER 2025
If the probability that an individual suffers a bad reaction from an injection of a given serum is 0.001, the probability that out of 2000 individuals, more than two individuals suffer from bad reaction.
[Given that \(e^{-2}=0.13534\) ]
- A 0.6767
- B 0.3233
- C 0.18044
- D 0.9753
Answer & Solution
Correct Answer
(B) 0.3233
Step-by-step Solution
Detailed explanation
\( \lambda = np = 2000 \times 0.001 = 2 \) \( P(X \le 2) = P(X=0) + P(X=1) + P(X=2) = \frac{e^{-\lambda} \lambda^0}{0!} + \frac{e^{-\lambda} \lambda^1}{1!} + \frac{e^{-\lambda} \lambda^2}{2!} \)…
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