Answered: Draw the density curve for the normal…

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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1. The length of human pregnancies from conception to birth varies according to a distribution that is approximately normal with a mean of 266 days and a standard deviation of 16 days.

a. Draw the density curve for the normal distribution of pregnancy lengths. Mark and label the location the mean and three standard deviations above and below the mean.

b. Answer the following questions using the density curve you drew for part a. It may help to shade relevant parts of the curve.

i. What percent of the pregnancies last between 250 and 282 days?

ii. What are the upper and lower bounds for the middle 95% of all pregnancy lengths?

iii. What percent of the pregnancies last between 218 and 314 days?

iv. What percent of the pregnancies last 266 days or fewer?

v. What percent of the pregnancies last between 266 and 282 days?

vi. What percent of the pregnancies last fewer than 250 days?

vii. What percent of the pregnancies last between 234 and 314 days?

viii. How long are the longest 2.5% of pregnancies?

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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