Answered: The lengths of human pregnancies are…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

The lengths of human pregnancies are approximately normally distributed, with mean μ=266 days and standard deviation σ=16 days.What proportion of pregnancies lasts more than 270 days?
B. What proportion of pregnancies lasts less than 250 days?
C. What proportion of pregnancies lasts between 240 and 280 days?
D. What is the probability that a randomly selected pregnancy lasts more than 280 days?
Be sure to draw a normal curve with the area corresponding to the probability shaded.

Typewritten explanation please if possible.

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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