Assuming that the runs made by the Indian cricket team in one-day matches follow a normal distribution. The following is the data on the runs made by the Indian team in ten one-day matches.
110, 150, 130, 170, 180, 100, 160, 140, 170, 130.
a) Calculate the maximum likelihood estimate of true average runs made.
b) Also calculate the maximum likelihood estimate of the true standard deviation of the distribution.
c) Estimate the 75th percentile of the distribution.