5 Marks According to the World Bank, only 9% of the population of Uganda had access to electricity as of 2009. Suppose we randomly sample 160 people in Uganda. Let X= the number of people who have access to electricity. a) What is the probability distribution for X? b) Using the formulas, calculate the mean and standard deviation of X. c) Find the probability that 17 people in the sample have access to electricity. Show working or give the excel formula with the parameters. d) Find the probability that at most ten people in the sample have access to electricity. Show working or give the excel formula with the parameters. e) Find the probability that more than 35 in the sample have access to electricity. Show working or give the excel formula with the parameters.​