Let the discrete random variable X - x has the probabilities given by x-6 for x-0- 1- 2- 3- then its mean is

The correct option is A 7/3 E[X]=∑ _ i=0 ^ 3 x _ i p _ i =0*P(X=0)+1*P(X=1)+2*P(X=2)+3*P(X=3) =0+ 1 6 + 2*2 6 + 3*3 6 = 14 6 ...

You visited us 12 times! Enjoying our articles? Unlock Full Access!

Probability Distribution

Let the discr...

Question

Let the discrete random variable $X = x$ has the probabilities given by $\frac{x}{6}$ for $x = 0, 1, 2, 3$ , then its mean is

\frac{1}{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{5}{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{7}{3}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{9}{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Suggest Corrections

Similar questions

X = {3, 2, 1}

\frac{1}{2}, \frac{1}{3}

\frac{1}{6}

X:	30	10	–10
P(X):	$\frac{1}{5}$	$\frac{3}{10}$	$\frac{1}{2}$

X

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

k

P (0 < X < 5)

X

Y

$X$	$0$	$1$	$2$	3
$P (X)$	$\frac{1}{5}$	$\frac{2}{5}$	$\frac{1}{5}$	$\frac{1}{5}$

$Y$	$0$	$1$	$2$	$3$
$P (Y)$	$\frac{1}{5}$	$\frac{3}{10}$	$\frac{2}{5}$	$\frac{1}{10}$

X

$X = x$	$1$	$2$	$3$	$4$	$5$
$P (X = x)$	$k$	$2 k$	$3 k$	$4 k$	$5 k$

P (X \leq 4)

Join BYJU'S Learning Program