Ali's Academy trains a large number of amateurs in basic boxing skills. The weights of all the applicants of the training program is known to follow a normal distribution with a mean of 86 kg and a...

Ali's Academy trains a large number of amateurs in basic boxing skills. The weights of all the applicants of the training program is known to follow a normal distribution with a mean of 86 kg and a standard deviation of 13 kg. One of the admission requirements is to weigh in between 65 kg and 90 kg, since health complications often arise beyond these wight classes.

a. What is the probability that a randomly selected applicant will not satisfy the weight requirements?

b. Determine the 83 percentile value for the call weight of the applicants.

c. Tyson is trying to gain some weight before joining the training program. His goal is to be among the top 9.05% of the accepted weight range. What should his minimum weight be for him to reach his goal?