A company packed a certain type of fertilizer by a machine into 12kg bags. The weight of each bag is normally distributed with mean 12.05 kg and standard deviation of 0.2 kg. i) What is the probability that the weight of a bag is less than 12 kg? ii) If 95% of the bags have weights more than k kg, find k. iii) If a farmer buys 20 bags at a time, what is the probability that their mean weight exceeds 12 kg?
A company packed a certain type of fertilizer by a machine into 12kg bags. The weight of each bag is normally distributed with mean 12.05 kg and standard deviation of 0.2 kg. i) What is the probability that the weight of a bag is less than 12 kg? ii) If 95% of the bags have weights more than k kg, find k. iii) If a farmer buys 20 bags at a time, what is the probability that their mean weight exceeds 12 kg?
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...
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON