Aclub basketball team will play a 60-game season. thirty-two of these games are against class a teams, and 28 are against class b teams. the outcomes of all the games are independent. the team will win each game against a class a opponent with probability .5 and it will win each game against a class b opponent with probability .7. let x denote its total number of victories in the season.(a) what is the relationship between xa, xb, and x? is x a binomial random variable? (b) approximate the probability that the team wins 45 or more games this season. x=xa+xbxa is a binomial random variable with n=32 and p=0.5xb is a binomial random variable with n=28 and p=0.7px(k)=∑a=0kp(xa=a)p(xb=k−a)can i express px(k) as a binomial distribution somehow? also, i think it is possible to approximate p(x≥45) using a normal distribution by the central limit theorem, but i'm not sure how to apply it.