Question

This year Karl's throws have a mean of 54.50 metres and a standard deviation of 3.00 metres. Ian's throws still have a mean of 60.33 metres and a standard deviation of 1.95 metres. In a competition an athlete must have at least one throw of 65 metres or more in the first round to qualify for the final round. Each athlete is allowed three throws in the first round. Determine which of these two athletes is most likely to qualify for the final on their first throw. Find the probability that both athletes qualify for the final.