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 6.7 kg. and standard deviation 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? kg.

c. What is the Z-score for a seedless watermelon weighing 7.7 kg?

d. What is the probability that a randomly selected watermelon will weigh more than 6.4 kg?

e. What is the probability that a randomly selected seedless watermelon will weigh between 6 and 6.8 kg?

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

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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