Question 1169016
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According to a survey, 38% of employees working at a very large company are happy with their jobs. 
Suppose that two employees are selected at random from this company. 
Let x denote the number of employees in this sample of two who are happy with their jobs. 
Construct the probability distribution table of x.
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x  p(x)
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0   ?
1   ?
2   ?
_______
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<pre>
(a)  x = 0  means that in the pair no one is happy.
     
     The probability for it is  P(x=0) = (1-0.38)*(1-0.38) = 0.3844.



(b)  x = 1  means that one of the two in the pair is happy, while another is not.

     The probability for it is  P(x=1) = (1-0.38)*0.38 + 0.38*(1-0.38) = 0.4712.



(c)  x = 2  means that both in the pair are happy.

     The probability for it is  P(x=2) = 0.38*0.38 = 0.1444.
</pre>

Solved.