(a) The masses, in grams, of plums of a certain kind have the distribution N(55, 18). (1) Find the probability that a plum chosen at random has a mass between 50.0 and 60.0 grams. (ii) The heaviest 5% of plums are classified as extra large. Find the minimum mass of extra large plums. (ii) The plums are packed in bags, each containing 10 randomly selected plums. Find the probability that a bag chosen at random has a total mass of less than 530 g. (b) The masses, in grams, of apples of a certain kind have the distribution N(67, o). It is given that half of the apples have masses between 62 g and 72g. Datarmin

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(a) The masses, in grams, of plums of a certain kind have the distribution N(55, 18).
(1) Find the probability that a plum chosen at random has a mass between 50.0 and
60.0 grams.
(ii) The heaviest 5% of plums are classified as extra large.
Find the minimum mass of extra large plums.
(iii) The plums are packed in bags, each containing 10 randomly selected plums.
Find the probability that a bag chosen at random has a total mass of less than 530 g.
(b) The masses, in grams, of apples of a certain kind have the distribution N(67, o). It is given
that half of the apples have masses between 62g and 72g.
Determine o.
Transcribed Image Text:(a) The masses, in grams, of plums of a certain kind have the distribution N(55, 18). (1) Find the probability that a plum chosen at random has a mass between 50.0 and 60.0 grams. (ii) The heaviest 5% of plums are classified as extra large. Find the minimum mass of extra large plums. (iii) The plums are packed in bags, each containing 10 randomly selected plums. Find the probability that a bag chosen at random has a total mass of less than 530 g. (b) The masses, in grams, of apples of a certain kind have the distribution N(67, o). It is given that half of the apples have masses between 62g and 72g. Determine o.
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