Question

IMaximum mark: 17] 9. The weights, in grams, of oranges grown in an orchard, are normally distributed witha mean of 297 g. It is known that 79% of the oranges weigh more than 289 g and 9.5% of the oranges weigh more than 310g (a) Find the probability that an orange weighs between 289 g and 310g. The weights of the oranges have a standard deviation of ơ. (b) () Find the standardized value for 289 g. 12] [51 (ii) Hence, find the value of ơ The grocer at a local grocery store will buy the oranges whose weights exceed the 35th percentile. (c) To the nearest gram, find the minimum weight of orange that the grocer will buy The orchard packs oranges in boxes of 36. (d) Find the probability that the grocer buys more than half the oranges in a box selected at random. The grocer selects two boxes at random. Find the probability that the grocer buys more than half the oranges in each box. (e)

How to do (c) (d) (e) ? need process

Answer 1

ulion Data 24,93 (from ) O 35h percemtile . Cemes ponding 2-score o o 35 X 38s zo X297+C-a3SC9.93) x293 176 X293.176 mu nmnum waght of orange -f215)gm pwbalulity of suces of buying am oramgy g am orcnas O.6s hiwl) folous so, numben of orangot) bau binomial with

36 36 -19 o 9543 using the abore reault more tham rom oo