Answered: The average weight of newborns is 2150…

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

The average weight of newborns is 2150 grams. The standard deviation is 480 grams. Assume the variable is normally distributed. If a newborn is selected at random, find the probability that

a) The newborn will weigh less than 2846 grams.

b) The newborn will weigh between 3118 and 4038 grams.

c) What is the 60th percentile of the weights?

d) If a sample of 40 newborns were selected, find the probability that the sample mean is greater than 3330 grams.

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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