The probability distribution of a discrete random variable $X$ is given by the following table:
$X = x$$0$$1$$2$$3$$4$
$P(X = x)$$k$$2k$$4k$$2k$$k$

Then the value of $P(X \leq 2)$ is:

  • A
    $\frac{1}{10}$
  • B
    $\frac{7}{10}$
  • C
    $\frac{3}{10}$
  • D
    $\frac{9}{10}$

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Similar Questions

If $m$ and ${\sigma ^2}$ are the mean and variance of a random variable $X$,whose distribution is given by:
$X=x$$0$$1$$2$$3$$4$
$P(X=x)$$\frac{1}{3}$$\frac{1}{2}$$0$$\frac{1}{6}$$0$

,then:

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India plays two matches each with West Indies and Australia. In any match,the probabilities of India getting $0, 1,$ and $2$ points are $0.45, 0.05,$ and $0.50$ respectively. Assuming that the outcomes are independent,the probability of India getting at least $7$ points is:

Two balls are drawn at random from a bag containing $5$ black balls and $3$ white balls. If the random variable $X$ denotes the number of white balls drawn,then the mean of $X$ is

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