Answer:
Mean and Standard deviation for the numbers of girls in groups of 36 births are 18 and 3 respectively.
Step-by-step explanation:
We are given that he X SORT method is designed to increase the likelihood that a baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. 
Now consider a group consisting of 36 couples.
The above situation can be represented through binomial distribution;

where, n = number of trials (samples) taken = 36 couples 
             r = number of success 
             p = probability of success which in our question is probability 
                    of a girl, i.e.; p = 0.5
<em><u>Let X = Numbers of girls in groups of 36 births </u></em>
So, X ~ Binom(n = 36, p = 0.5)
Now, mean for the numbers of girls in groups of 36 births is given by;
          <u>Mean</u>, E(X) =  =
 =  = 18
 = 18
Also, standard deviation for the numbers of girls in groups of 36 births is given by;
         <u>Standard deviation</u>, S.D.(X) =   
 
                                                       =   
 
                                                       =  3