5 Gem stones from a certain mine have weights, X grams, which are normally distributed with mean 1.9 g and standard deviation 0.55 g. These gem stones are sorted into three categories for sale depending on their weights, as follows.
Small: under 1.2 g Medium: between 1.2 g and 2.5 g Large: over 2.5 g
(i) Find the proportion of gem stones in each of these three categories.
(ii) Find the value of k such that Pk < X < 2.5 =
A dice is thrown two times. What is the probability that the sum Is neither 8 nor 9?