11. Yuk Ping belongs to an athletics club. In javelin throwing competitions her throws are normally distributed with mean 41.0 m and standard deviation 2.0 m. (a) What is the probability of her throwing between 40 m and 46 m? (b) What distance will be exceeded by 60% of her throws? Gwen belongs to the same club. In competitions 85% of her javelin throws exceed 35 m and 70% exceed 37.5 m. Her throws are normally distributed. (c) Find the mean and standard deviation of Gwen's throws, each correct to two signicant gures. ((1) What is the probability that, in a competition in which each athlete takes a single throw, Yuk Ping will beat Gwen? (e) The club has to choose one of these two athletes to enter a major competition. In order to qualify for the nal rounds it is necessary to achieve a throw of at least 52 m in the preliminary rounds. Which athlete should be chosen and why