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Maths-

General

Easy

Question

The distribution of a random variable X is given below

The value of k is

$\frac{1}{10}$
$\frac{2}{10}$
$\frac{3}{10}$
$\frac{7}{10}$

hint Hint:

We know that, Sum of all the probabilities in an event = 1. Use this to find out the answer.

The correct answer is: $fraction numerator 1 over denominator 10 end fraction$

We know that,
Sum of all the probabilities in an event = 1
P(x= -2) + P(x= -1) + P(x= 0) + P(x= 1) + P(x= 2) + P(x= 3) = 1
$fraction numerator 1 over denominator 10 space end fraction plus space k space plus space 1 fifth plus 2 k plus space 3 over 10 plus k equals space 1 fraction numerator 1 plus space 10 k plus 2 plus 20 k plus 3 plus 10 k over denominator 10 end fraction equals space 1 40 k space plus 6 equals space 10 40 k equals space 10 minus 6 40 k equals 4 k space equals space 1 over 10$

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