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.

Determine if the following statement is true or false. the normal curve is symmetric about its​ mean, mu. choose the best answer below. a. the statement is false. the normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. the median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ therefore, the normal curve could only be symmetric about its​ median, not about its mean. b. the statement is true. the normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ therefore, the normal curve is symmetric about the​ mean, mu. c. the statement is false. the mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. d. the statement is true. the mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.