Question

If the probability of a bad reaction from a certain injection is \(0.001\), then the chance that out of 2000 individuals more than two will get a bad reaction is given by:

• A. \(1 - \frac{5}{e^2}\)
• B. \(\frac{5}{e^2}\)
• C. \(1 - \frac{2}{e^2}\)
• D. \(\frac{4}{e^2}\)

Hint:

In Poisson approximation, always compute \(\lambda = np\) first. For "more than" type questions, using complement \(1 - P(X \leq k)\) saves significant time and effort.

Answer 1

The Correct Option is A