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Probability Distribution

A random vari...

Question

A random variable X has the probability distribution:

Then the value of K is:

1/7

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-1

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1/5

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1/10

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Solution

The correct option is D
1/10

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Similar questions

X

$X = x$	$- 2$	$- 1$	$0$	$1$	$2$	$3$
$P (x)$	$\frac{1}{10}$	$K$	$\frac{1}{5}$	$2 K$	$\frac{3}{10}$	$K$

X = x_i :	0	1	2	3	4	5	6	7
P (X = x_i) :	0	2 p	2 p	3 p	p²	2 p²	7 p²	2 p

\begin{matrix} X & P (X = x) & X & P (X = x) 0 & λ & 5 & 11 λ 1 & 3 λ & 6 & 13 λ 2 & 5 λ & 7 & 15 λ 3 & 7 λ & 8 & 17 λ 4 & 9 λ \end{matrix}

λ

X

C =

X = x : 1, 2, 3, 4

P (X = x) : C, 2 C, 3 C, 4 C

^{'} X^{'}

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

k

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