14 3 Mary uses UN data to find out about birth weights of male babies. For two of the countries in her sample, she finds the mean and standard deviation of male baby birth weights, in grams, to the nearest gram. Country Mean Standard deviation Guatemala 3151 551 Austria 3371 596 (Data source: http://www.data.un.org) Assuming that the birth weight of male babies in each country follows a normal distribution, and that each birth is independent of all others, calculate the probability that (i) a randomly selected male baby born in Guatemala has a birth weight of less than 4000 g, (2) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ (ii) the total weight of two randomly selected male babies born in Austria is less than 6500 g, (4) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________