Question:medium

If the probability that a person suffers a bad reaction from an injection is $0.001$, then the probability that out of $2000$ individuals, exactly $3$ will suffer a bad reaction is:

Show Hint

For very large $n$ and small $p$, the Poisson approximation $\lambda = np$ is the fastest and most efficient way to compute probabilities.

Updated On: Oct 6, 2026

$\frac{4}{3} e^{-2}$
$4 e^{-2}$
$\frac{1}{3} e^{-2}$
$2 e^{-2}$

Show Solution

The Correct Option is A

Solution and Explanation

Was this answer helpful?

0

Top Questions on Probability

Questions Asked in AP EAPCET exam

Let \[ f(x)=\int \frac{\sqrt{x}}{(1+x)^2}\,dx \quad (x\geq 0) \] Then \[ f(3)-f(1) \] is equal to:

AP EAPCET - 2026
Definite and indefinite integrals

Gas is being pumped into a spherical balloon at the rate of $ 30 \, \text{ft}^3/\text{min} $. Then the rate at which the radius increases when it reaches the value $ 15 \, \text{ft} $ is:

AP EAPCET - 2026
Differentiation

Let the function $ f(x) $ be defined as $ f(x) = \frac{x - |x|}{x} $, then:

AP EAPCET - 2026
Definite and indefinite integrals

If the direction ratios of two lines are given by $ l + m + n = 0 $ and $ mn - 2ln + lm = 0 $, then the angle between the lines is:

AP EAPCET - 2026
3D Geometry