isto 1) The mean average rainfall of Claudona for August is 48 mm with a standard deviation of 6 mm. Over a anl4/ 20 year period, how many times would you expect there to be less than 42 mm of rainfall during August in Claudona? 2) Two hundred lifesavers competed in a swimming race. The mean time was 10 minutes 30 seconds, and the standard deviation was 15 seconds. Estimate the number of competitors who: a) took longer than 11 minutes b) took less than 10 minutes 15 seconds c) completed the race in a time between 10 min 15 s and 10 min 45 s. 3) Given X~N(3, 0.12), find: a) the probability that a randomly selected value lies with 2 standard deviations of the mean b) the value of X which is 1 standard deviation below the mean 4) The weights of Jason's oranges are normally distributed. 84% of the crop weigh more than 152 grams and 16% weight more than 200 grams. ) Find u and o for the crop. b) What percentage of the oranges weigh between 152 grams and 224 grams?5) The height of male students in a university is normally distributed with mean 170 cm and standard deviation 8 cm. a) Find the percentage of male students whose height is: ii) between 170 cm and 186 cm i) between 162 cm and 170 cm "hab) Find the probability that a randomly chosen student from this group has a height: ii) less than 162 cm i) between 178 and 186 cm iv) greater than 162 cm iii) less than 154 cm c) Find the value of k such that 16% of the students are taller than k cm. 6) When a specific variety of radish is grown without fertilizer, the weights of the radishes produced are normally distributed with mean 40 g and standard deviation 10 g. When the same variety of radish is grown in the same way but with fertilizer added, the weights of the radishes produced are also normally distributed, but with mean 140 g and standard deviation 40 9. Determine the proportion of radishes grown: a) without fertilizer with weights less than 50 grams b) with fertilizer with weights less than 50 grams c) i) with and ii) without fertilizer which have weights between 20 and 60 grams d) i) with and ii) without fertilizer which have weights grater than 60 g