Question

A discrete random variable X follows uniform distribution and takes only the value 6,8,11,12,17 the probability of p(x=12)
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Answer 1

Given :

A discrete random variable where X follows uniform distribution.

Outcomes : 6 , 8 , 11 , 12 , 17

To Find :

The probability of P( x = 12 )

Solution :                    

Outcomes are 6 , 8 , 11 , 12 , 17          

Formula for  probability =    $\dfrac{\textrm{Number of favorable outcomes}}{\textrm{Total number of outcome}}$    

Total number of outcomes = 5

Given probability is P( X = 12 )

Outcomes when number is equal to 12 = 1

P(X = 12 )   = $\dfrac{\textrm{Number of favorable outcomes}}{\textrm{Total number of outcome}}$

                 = $\frac{1}{5}$                                                                                                      

Therefore the probability of P(x = 2) is   $\frac{1}{5}$