Suppose the lengths of human pregnancies are normally distributed with μ=266days and σ=16 days. Complete parts (a) and (b) below. Suppose the lengths of human pregnancies are normally distributed with p = 266 days and o = 16 days. Complete parts (a) and (b) below.(a) The figure to the right represents the normal curve with u= 266 days and o = 16 days. The area to the left of X = 245 is 0.0947.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 completeyour choice.(Type integers or decimals.)O A. The proportion of human pregnancies that last less thandays is245 266O B. The proportion of human pregnancies that last more thandays isProvide 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.)A. The probability that a randomly selected human pregnancy lasts less thandays isB. The probability that a randomly selected human pregnancy lasts more thandays is (b) The figure to the right represents the normal curve with µ= 266 days and o = 16 days. The area between x= 235 and x = 280 is0.7829. 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 completeyour choice.(Type integers or decimals. Use ascending order.)O A. The proportion of human pregnancies that last betweenanddays is235266 280O B. The proportion of human pregnancies that last less thanor more thandays is.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.)O A. The probability that a randomly selected human pregnancy lasts betweenanddays isO B. The probability that a randomly selected human pregnancy lasts less thanor more thandays is

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Answered: Suppose the lengths of human…

Suppose the lengths of human pregnancies are normally distributed with μ=266days and σ=16 days. Complete parts (a) and (b) below.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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Question

Suppose the lengths of human pregnancies are normally distributed with μ=266days and σ=16 days. Complete parts (a) and (b) below.

Suppose the lengths of human pregnancies are normally distributed with p = 266 days and o = 16 days. Complete parts (a) and (b) below.
(a) The figure to the right represents the normal curve with u= 266 days and o = 16 days. The area to the left of X = 245 is 0.0947.
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.)
O A. The proportion of human pregnancies that last less than
days is
245 266
O B. The proportion of human pregnancies that last more than
days is
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.)
A. The probability that a randomly selected human pregnancy lasts less than
days is
B. The probability that a randomly selected human pregnancy lasts more than
days is

(b) The figure to the right represents the normal curve with µ= 266 days and o = 16 days. The area between x= 235 and x = 280 is
0.7829. 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.)
O A. The proportion of human pregnancies that last between
and
days is
235
266 280
O B. The proportion of human pregnancies that last less than
or more than
days is.
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.)
O A. The probability that a randomly selected human pregnancy lasts between
and
days is
O B. The probability that a randomly selected human pregnancy lasts less than
or more than
days is

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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