In a book of $500$ pages,it is found that there are $250$ typing errors. Assume that Poisson law holds for the number of errors per page. Then,the probability that a random sample of $2$ pages will contain no error,is:

  • A
    $e^{-0.3}$
  • B
    $e^{-0.5}$
  • C
    $e^{-1}$
  • D
    $e^{-2}$

Explore More

Similar Questions

$A$ random variable $X$ takes the values $0, 1$ and $2$. If $P(X=1)=P(X=2)$ and $P(X=0)=0.4$,then the mean of the random variable $X$ is

Find the probability distribution of the number of successes in two tosses of a die,where a success is defined as a number greater than $4$.

An observer counts $240$ vehicles per hour at a specific location on a highway. Assuming that the arrival of vehicles at the location follows a Poisson distribution,the probability that more than two vehicles arrive over a $30 \text{ sec}$ time interval is

In a book of $250$ pages,there are $200$ typographical errors. Assuming that the number of errors per page follows the Poisson distribution,the probability that a random sample of $5$ pages will contain no typographical error is

$A$ random variable $X$ has the following probability distribution:
$X$$1, 2, 3, 4, 5$
$P(X)$$K^2, 2K, K, 2K, 5K^2$

Then $P(X > 2)$ is equal to:

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo