Following a touchdown, a college football coach has the option to elect to attempt a two-point conversion; that is, two additional points are scored in the attempt is successful andnone, if it is unsuccessful. The coach believes that the probability is 0.35 that his team willbe successful in any attempt and that the outcomes of different attempts are independentof each other. In a particular game the team scores 4 touchdowns and two-pointconversion attempts were made each time.

What is the required success rate for completing one-point conversions so thatthe same mean number of points are obtained?