A packing plant fills bags with cement. The weight X kg of a bag of cement can be modelled by a Normal distribution with mean 50 kg and standard deviation of 2kg. a) If a bag is selected is at random, find the probability that the weight of the bag is greater than 55 kg. b) If three bags are selected at random, find the probability that 2 bags weigh more than 55 kg. c) Compute the probability in part a using RStudio.

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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A packing plant fills bags with cement. The weight X kg of a bag of
cement can be modelled by a Normal distribution with mean 50 kg
and standard deviation of 2kg.
a) If a bag is selected is at random, find the probability that the
weight of the bag is greater than 55 kg.
b) If three bags are selected at random, find the probability that
2 bags weigh more than 55 kg.
c) Compute the probability in part a using RStudio.
Transcribed Image Text:Q4 A packing plant fills bags with cement. The weight X kg of a bag of cement can be modelled by a Normal distribution with mean 50 kg and standard deviation of 2kg. a) If a bag is selected is at random, find the probability that the weight of the bag is greater than 55 kg. b) If three bags are selected at random, find the probability that 2 bags weigh more than 55 kg. c) Compute the probability in part a using RStudio.
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