9. (a) The masses, in grams, of plums of a certain kind have the distribution N(55, 18). (i) Find the probability that a plum chosen at random has a mass between 50.0 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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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I'm stuck on 9a (iii).
(a) The masses, in grams, of plums of a certain kind have the distribution N(55, 18).
(i) Find the probability that a plum chosen at random has a mass between 50.0
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.
Transcribed Image Text:(a) The masses, in grams, of plums of a certain kind have the distribution N(55, 18). (i) Find the probability that a plum chosen at random has a mass between 50.0 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.
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