The weights of women boxers in a tournament are normally distributed with mean 64 kg and standard deviation 8 kg .
Find the probability that a randomly chosen woman boxer in the tournament weighs less than 51 kg .
In the tournament, women boxers who weigh less than 51 kg are classified as lightweight. Ren weighs 49 kg and she has a match against another randomly selected, lightweight woman boxer.
Find the probability that Ren weighs less than the other boxer.
In the tournament, women boxers who weigh more than \(H \mathrm {~kg}\) are classified as heavyweight. Given that \(10 \%\) of the women boxers in the tournament are classified as heavyweight,