In a city,it is found that $10$ accidents took place in a span of $50$ days. Assuming that the number of accidents follows the Poisson distribution,the probability that there will be $3$ or more accidents in a day in that city is

  • A
    $1-(1.02) e^{0.2}$
  • B
    $1-(1.22) e^{-0.2}$
  • C
    $1-(1.2) e^{0.2}$
  • D
    $1-\frac{1.22}{e^{-0.2}}$

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Similar Questions

$A$ student studies for $X$ number of hours during a randomly selected school day. The probability distribution of $X$ is given by the following form,where $k$ is a constant:
$P(X=x) = \begin{cases} 0.2, & \text{if } x=0 \\ kx, & \text{if } x=1 \text{ or } 2 \\ k(6-x), & \text{if } x=3 \text{ or } 4 \\ 0, & \text{otherwise} \end{cases}$
The probability that the student studies for at most two hours is:

$A$ random variable $X$ has its range $\{-1, 0, 1\}$. If its mean is $0.2$ and $P(X=0)=0.2$,then $P(X=1)=$

$A$ random variable $X$ has the following probability distribution:
$X=x$$1$$2$$3$$4$
$P(X=x)$$0.1$$0.2$$0.3$$0.4$

The mean and standard deviation of $X$ are respectively:

If the probability distribution function of a random variable $X$ is given as follows:
$X=x_i$$-2$$-1$$0$$1$$2$
$P(X=x_i)$$0.2$$0.3$$0.15$$0.25$$0.1$

Then $F(0)$ is equal to:

For the probability distribution given by
$x = x_{i}$ $0$ $1$ $2$
$P_{i}$ $\frac{25}{36}$ $\frac{5}{18}$ $\frac{1}{36}$

the standard deviation $(\sigma)$ is

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