The probability distribution of random variable $X$ is given by:
$X$ $1$ $2$ $3$ $4$ $5$
$P(X)$ $K$ $2K$ $2K$ $3K$ $K$

Let $p=P(1 < X < 4 \mid X < 3)$. If $5p = \lambda K$,then $\lambda$ is equal to .... .

  • A
    $15$
  • B
    $30$
  • C
    $45$
  • D
    $19$

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Similar Questions

If a random variable $X$ has the following probability distribution values,then $P(X \geq 6)$ has the value:
$X$$0$$1$$2$$3$$4$$5$$6$$7$
$P(X)$$0$$k$$2k$$2k$$3k$$k^2$$2k^2$$7k^2 + k$

$A$ player tosses two coins. He wins $Rs. 1$ if $1$ head appears,$Rs. 2$ if $2$ heads appear. But he loses $Rs. 3$ if no head appears. The mean of the prize money is

The following table shows the probability distribution of smart phones sold in a shop per day:
Number of smart phones $(x)$$0$$1$$2$$3$$4$$5$
Probability $(P(x))$$k$$0.3$$0.15$$0.15$$0.1$$2k$

Then $E(x) = ?$

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

Let the mean and standard deviation of the probability distribution given by the table below be $\mu$ and $\sigma$ respectively. If $\sigma - \mu = 2$,then find the value of $\sigma$.
$X=x$$-3$$0$$1$$\alpha$
$P(X=x)$$\frac{1}{4}$$K$$\frac{1}{4}$$\frac{1}{3}$

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