A random variable X has the following probability distribution- begin array -c- c-c- c-c- c-c- c-c- hlinetext P X - 0 - k - 2 k - 2 k - 3 k - k - 2 - 2 k - 2 - 7 k - 2- k llhlineendarray P 0- X -3

P(0 lt;X lt;3)=P(1)+P(2)=k+2k=1/10+2/10=3/10 (Put k=1/10) ...

You visited us 4 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Probability

A random vari...

Question

A random variable X has the following probability distribution.

$\begin{matrix} X & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 P(X) & 0 & k & 2 k & 2 k & 3 k & k^{2} & 2 k^{2} & 7 k^{2} + k \end{matrix}$

$P (0 < X < 3)$

Open in App

Solution

$P (0 < X < 3) = P (1) + P (2) = k + 2 k = \frac{1}{10} + \frac{2}{10} = \frac{3}{10}$ $(Put k = \frac{1}{10})$

Suggest Corrections

Similar questions

A random variable X has the following probability distribution.

$\begin{matrix} X & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 P (X) & 0 & k & 2 k & 2 k & 3 k & k^{2} & 2 k^{2} & 7 k^{2} + k \end{matrix}$

P(X > 6)

A random variable X has the following probability distribution.
$\begin{matrix} X & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 P (X) & 0 & k & 2 k & 2 k & 3 k & k^{2} & 2 k^{2} & 7 k^{2} + k \end{matrix}$
P(X<3)

A random variable X has the following probability distribution.

X	0	1	2	3	4	5	6	7
P (X)	0	k	2k	2k	3k	k²	2k²	7k² + k

Determine

(i) k

(ii) P (X < 3)

(iii) P (X > 6)

(iv) P (0 < X < 3)

The probability distribution of x is

$\begin{matrix} x & 0 & 1 & 2 & 3 P (x) & 0.2 & k & k & 2 k \end{matrix}$

Find the value of k

Q. A random variable

X

has the following probability distribution.

$X = x$	$0$	$1$	$2$	$3$	$4$	$5$	$6$	$7$
$P (X = x)$	$0$	$k$	$2 k$	$2 k$	$3 k$	$k^{2}$	$2 k^{2}$	$7 k^{2} + k$

Find (i)

k

(ii) The mean and (iii)

P (0 < X < 5)

Join BYJU'S Learning Program

A random variable X has the following probability distribution. X01234567P(X)0k2k2k3kk22k27k2+k P(0<X<3)

P(0<X<3)=P(1)+P(2)=k+2k=110+210=310 (Put k=110)

A random variable X has the following probability distribution.

$\begin{matrix} X & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 P(X) & 0 & k & 2 k & 2 k & 3 k & k^{2} & 2 k^{2} & 7 k^{2} + k \end{matrix}$

$P (0 < X < 3)$

$P (0 < X < 3) = P (1) + P (2) = k + 2 k = \frac{1}{10} + \frac{2}{10} = \frac{3}{10}$ $(Put k = \frac{1}{10})$