A random variable X has the following probability distribution. x 0 1 2 3 4 5 6 7 8 P(X=x) a 3a 5a 7a 9a 11a 13a 15a 17a Then, the value of ' a ' is

NIMCET 2011 Question Paper with solutions

Question : 6 of 120

Marks: +1, -0

A random variable

X

has the following probability distribution.

x	0	1	2	3	4	5	6	7	8
P(X=x)	a	3a	5a	7a	9a	11a	13a	15a	17a

Then, the value of '

a

' is

Solution:

∴ Sum of probabilities

=1

∴ a+3 a+5 a+7 a+9 a+11 a+13 a+15 a+17 a=1

⇒ \;\; 81 a=1 \;\; ⇒ \;\; a={1}/{81}

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