A couple decides to keep having children until they have a boy, at which point they will stop having children. They also agree to having a maximum of three children. The table below shows the probability
distribution of X = the number of children such a couple would have.
X = # of children

On average, how many children would such a couple have?
E(X)=
children

Ibelieve the answer is d. 

Horizontal asymptote at  tells us that the original graph has been translated down.since  ,  are positive.  also we can say that the point  has a smaller  -coordinate than  .this means that the  transformed exponential function is increasing as it goes to the right. as it goes from  to , the value of the exponential function increases. it goes from to something bigger, . therefore, as  . the left hand would be the side that approaches the horizontal asymptote.so the answer is d