Answered: Suppose that the weight of seedless…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Suppose that the weight of seedless watermelons is normally distributed with mean 6 kg. and standarddeviation 1.4 kg. Let X be the weight of a randomly selected seedless watermelon. Round all answers to 4 decimal places where possible.

a. What is the distribution of X? X ~ N

b. What is the median seedless watermelon weight?

c. What is the Z-score for a seedless watermelon weighing 7 kg?

d. What is the probability that a randomly selected watermelon will weigh more than 5.3 kg?

e. What is the probability that a randomly selected seedless watermelon will weigh between 5.2 and 5.7 kg?

f. The 75th percentile for the weight of seedless watermelons is kg.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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