Answered: Experience has shown that the weight of…

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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Experience has shown that the weight of oranges produced by an orchard in
Tzaneen is normally distributed, with an average weight (µ) of 120g and a
standard deviation (σ) of 20g. A sample of 115 of these oranges is randomly
selected.

Q.3.1.1 Determine the standard error for this sample.
What is the probability that the mean weight of the oranges in the
sample lies between 118g and 121.5g? Interpret your answer.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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