In a recent year, there were 879 challenges made to referee calls in professional tennis singles play. Among those challenges, 231 challenges were upheld with the call overturned. Assume that in general, 25% of the challenges are successfully upheld with the call overturned (Binomial distribution).
a. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is exactly 231. (Use Normal distribution to approximate Binomial).
b. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is 231 or more. If the 25% rate is correct, is 231 overturned calls among 879 challenges a result that is significantly high? (Use Normal distribution to approximate Binomial)