In a national statistic examination, the marks were. found to be normally distributed with a mean value of 50 and a variance of 256. (I) Distinctions were awarded to the top 10%. Calculate the minimum marks a student is required: to earn to obtain a distinction statistics. (II) The bottom 5% is considered as failed What are the maximum failure marks for the statistic? (III) Assume that the pass markareis for statistics 48%. (a) Find the percentage of failures? (b) What is the percentage of entrants who the examination but got the below the mean marks