2 (a) The masses, in grams, of plums of a certain kind have the distrībution 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 phums 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 530g. (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 Determine a

2 (a) The masses, in grams, of plums of a certain kind have the distrībution 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 phums 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 530g. (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 Determine a

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

(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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