Answered: Suppose the lengths of human…

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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Part 1

(a) The figure to the right represents the normal curve with

μ=266

days and

σ=16

days. The area to the

left

X=250

0.1587.

Provide two interpretations of this area.

Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice.

(Type integers or decimals.)

The proportion of human pregnancies that last

less

than

enter your response here

days is

enter your response here.

The proportion of human pregnancies that last

than

enter your response here

days is

enter your response here.

266

250

A normal curve has a horizontal axis labeled "X" and two horizontal coordinates, 250 and 266. The curve's peak is near the top of the graph at horizontal coordinate 266. Two vertical line segments run from the horizontal axis to the curve at 250 and 266. The area under the curve to the left of 250 is shaded.

Part 2

Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice.

(Type integers or decimals.)

The probability that a randomly selected human pregnancy lasts

less

than

enter your response here

days is

enter your response here.

The probability that a randomly selected human pregnancy lasts

than

enter your response here

days is

enter your response here.

Part 3

(b) The figure to the right represents the normal curve with

μ=266

days and

σ=16

days. The area between

x=230

and

x=280

0.7970.

Provide two interpretations of this area.

Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice.

(Type integers or decimals. Use ascending order.)

The proportion of human pregnancies that last between

enter your response here

and

enter your response here

days is

enter your response here.

The proportion of human pregnancies that last less than

enter your response here

or more than

enter your response here

days is

enter your response here.

266

230

280

A normal curve has a horizontal axis labeled "X" and three horizontal coordinates, 230, 266, and 280. The curve's peak is near the top of the graph at horizontal coordinate 266. Three vertical line segments run from the horizontal axis to the curve at 230, 266, and 280. The area under the curve between the vertical line segments at 230 and 280 is shaded.

Part 4

Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice.

(Type integers or decimals. Use ascending order.)

The probability that a randomly selected human pregnancy lasts between

enter your response here

and

enter your response here

days is

enter your response here.

The probability that a randomly selected human pregnancy lasts less than

enter your response here

or more than

enter your response here

days is

enter your response here.

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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