Find the mean and standard deviation of each of the following probabil

Find the mean and standard deviation of each of the following probability distributions:(i) xi : 2 3 4 pi : 0.2 0.5 0.3 [NCERT EXEMPLAR](ii) xi : 1 3 4 5 pi : 0.4 0.1 0.2 0.3 (iii) xi : −5 −4 1 2 pi : 14 18 12 18 (iv) xi : −1 0 1 2 3 pi : 0.3 0.1 0.1 0.3 0.2 (v) xi : 1 2 3 4 pi : 0.4 0.3 0.2 0.1 (vi) xi : 0 1 3 5 pi : 0.2 0.5 0.2 0.1 (vii) xi : −2 −1 0 1 2 pi : 0.1 0.2 0.4 0.2 0.1 (viii) xi : −3 −1 0 1 3 pi : 0.05 0.45 0.20 0.25 0.05 (ix) xi : 0 1 2 3 4 5 pi : 16 518 29 16 19 118 [NCERT EXEMPLAR]

Answer» Find the mean and standard deviation of each of the following probability distributions:

(i)

x_i :	2	3	4
p_i :	0.2	0.5	0.3

[NCERT EXEMPLAR]

(ii)

x_i :	1	3	4	5
p_i :	0.4	0.1	0.2	0.3

(iii)

x_i :	−5	−4	1	2
p_i :	$\frac{1}{4}$	$\frac{1}{8}$	$\frac{1}{2}$	$\frac{1}{8}$

(iv)

x_i :	−1	0	1	2	3
p_i :	0.3	0.1	0.1	0.3	0.2

(v)

x_i :	1	2	3	4
p_i:	0.4	0.3	0.2	0.1

(vi)

x_i :	0	1	3	5
p_i :	0.2	0.5	0.2	0.1

(vii)

x_i :	−2	−1	0	1	2
p_i :	0.1	0.2	0.4	0.2	0.1

(viii)

x_i :	−3	−1	0	1	3
p_i :	0.05	0.45	0.20	0.25	0.05

(ix)

x_i :	0	1	2	3	4	5
p_i :	$\frac{1}{6}$	$\frac{5}{18}$	$\frac{2}{9}$	$\frac{1}{6}$	$\frac{1}{9}$	$\frac{1}{18}$

[NCERT EXEMPLAR]