probability questions

Question 4 An athlete is training to qualify himself for the upcoming Olympic Games. The condition to be eligible to compete is he must run for 100 meters in less than 15 seconds. It is known that the running time is nonnally distributed with a mean of 12.77 seconds and a standard deviation of 0.81 seconds. (a) Find the probability that the athlete does not qualify to compete for the upcoming Olympic Games. (3 marks) (b) If a random sample of 10 athletes is selected. nd the new mean and standard deviation for running time. (2 marks)