The distribution of the number of viewers for the Malaysian Idol show follows a normal distribution with a mean of 32.5 million and a standard deviation of 6.2 million.

1. Given the probability that the average number of viewers in the next five weeks will have less than k million viewers is 38.5%. Find the value of k. (4 marks)

1. A random sample of 36 weeks are selected, what is the probability that the average number of viewers in this sample is less than 30 million? (4 marks)