Pick between A and B for each answer, time sensitive please help!!!! ## Understanding the Normal Distribution of Human Pregnancies### Normal Distribution Characteristics- **Mean (µ)**: 266 days- **Standard Deviation (σ)**: 16 days### Part (a)The graph alongside represents the normal curve with a mean (µ) of 266 days and a standard deviation (σ) of 16 days. It indicates that the area to the left of X = 245 days is 0.0947.#### Problem Interpretation1. Select an interpretation for the given area.2. Options: - **Option A**: The proportion of human pregnancies that last less than ___ days is ___. - **Option B**: The proportion of human pregnancies that last more than ___ days is ___.#### Detailed Graph Explanation- The graph is a normal distribution curve centered at 266 days.- A shaded area under the curve to the left of 245 days corresponds to the probability value 0.0947.**Fill in the values as follows:**- **245 days** for specific days- **0.0947** for proportionThus:- **Option A**: The proportion of human pregnancies that last less than **245** days is **0.0947**.- **Option B**: The proportion of human pregnancies that last more than **245** days is **1 - 0.0947**.### Part (b)Provide a second interpretation for the same given values.1. Select the interpretation of the given area.2. Options: - **Option A**: The probability that a randomly selected human pregnancy lasts less than ___ days is ___. - **Option B**: The probability that a randomly selected human pregnancy lasts more than ___ days is ___.**Fill in the values as follows:**- **245 days** for specific days- **0.0947** for probabilityThus:- **Option A**: The probability that a randomly selected human pregnancy lasts less than **245** days is **0.0947**.- **Option B**: The probability that a randomly selected human pregnancy lasts more than **245** days is **1 - 0.0947**. ### Understanding Human Pregnancy Length Using Normal DistributionSuppose the lengths of human pregnancies are normally distributed with a mean ($\mu$) of 266 days and a standard deviation ($\sigma$) of 16 days. We will explore this distribution through a given problem and related visual representation.#### Problem ScenarioComplete parts (a) and (b) below using the provided information.#### Part (b) - Interpretation of the Normal CurveThe figure to the right represents a normal curve with $\mu = 266$ days and $\sigma = 16$ days. The shaded area between $x = 290$ and $x = 305$ is 0.0594. We need to provide two interpretations of this area.##### Interpretation 1Provide 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.)1. **Option A:** - The proportion of human pregnancies that last less than ( ) or more than ( ) days is ( ).2. **Option B:** - The proportion of human pregnancies that last between ( ) and ( ) days is ( ).##### Interpretation 2Provide 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.)1. **Option A:** - The probability that a randomly selected human pregnancy lasts between ( ) and ( ) days is ( ).2. **Option B:** - The probability that a randomly selected human pregnancy lasts less than ( ) or more than ( ) days is ( ).#### Graphical RepresentationThe figure shows a bell-shaped normal distribution curve centered at $x = 266$ days. The two vertical lines highlight the values $x = 290$ days and $x = 305$ days on the horizontal axis. The area between these two lines is shaded, illustrating the given probability of 0.0594 (or 5.94%). The curve is symmetrical around the mean, with values spreading out as per the standard deviation.By analyzing this graph along with the provided questions, you can develop a strong understanding of how probabilities and proportions work within the realm of normally distributed data.

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Description: Pick between A and B for each answer, time sensitive please help!!!! ## Understanding the Normal Distribution of Human Pregnancies### Normal Distribution Characteristics- **Mean (µ)**: 266 days- **Standard Deviation (σ)**: 16 days### Part (a)The grap

From the given graphs, the interpretations of the probabilities are given as follows:

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Suppose the lengths of human pregnancies are normally distributed with u = 266 days and o= 16 days. Complete pafts (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 O B. The proportion of human pregnancies that last more than days is 245 266 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.) O A. The probability that a randomly selected human pregnancy lasts less than days is O B. The probability that a randomly selected human pregnancy lasts more than days is

Suppose the lengths of human pregnancies are normally distributed with u = 266 days and o= 16 days. Complete pafts (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 O B. The proportion of human pregnancies that last more than days is 245 266 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.) O A. The probability that a randomly selected human pregnancy lasts less than days is O B. The probability that a randomly selected human pregnancy lasts more than days is

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

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ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 10CR

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

Pick between A and B for each answer, time sensitive please help!!!!

## Understanding the Normal Distribution of Human Pregnancies

### Normal Distribution Characteristics
- **Mean (µ)**: 266 days
- **Standard Deviation (σ)**: 16 days

### Part (a)
The graph alongside represents the normal curve with a mean (µ) of 266 days and a standard deviation (σ) of 16 days. It indicates that the area to the left of X = 245 days is 0.0947.

#### Problem Interpretation
1. Select an interpretation for the given area.
2. Options:
- **Option A**: The proportion of human pregnancies that last less than ___ days is ___.
- **Option B**: The proportion of human pregnancies that last more than ___ days is ___.

#### Detailed Graph Explanation
- The graph is a normal distribution curve centered at 266 days.
- A shaded area under the curve to the left of 245 days corresponds to the probability value 0.0947.

**Fill in the values as follows:**
- **245 days** for specific days
- **0.0947** for proportion

Thus:

- **Option A**: The proportion of human pregnancies that last less than **245** days is **0.0947**.
- **Option B**: The proportion of human pregnancies that last more than **245** days is **1 - 0.0947**.

### Part (b)
Provide a second interpretation for the same given values.

1. Select the interpretation of the given area.
2. Options:
- **Option A**: The probability that a randomly selected human pregnancy lasts less than ___ days is ___.
- **Option B**: The probability that a randomly selected human pregnancy lasts more than ___ days is ___.

**Fill in the values as follows:**
- **245 days** for specific days
- **0.0947** for probability

Thus:

- **Option A**: The probability that a randomly selected human pregnancy lasts less than **245** days is **0.0947**.
- **Option B**: The probability that a randomly selected human pregnancy lasts more than **245** days is **1 - 0.0947**.

### Understanding Human Pregnancy Length Using Normal Distribution

Suppose the lengths of human pregnancies are normally distributed with a mean ($\mu$) of 266 days and a standard deviation ($\sigma$) of 16 days. We will explore this distribution through a given problem and related visual representation.

#### Problem Scenario
Complete parts (a) and (b) below using the provided information.

#### Part (b) - Interpretation of the Normal Curve
The figure to the right represents a normal curve with $\mu = 266$ days and $\sigma = 16$ days. The shaded area between $x = 290$ and $x = 305$ is 0.0594. We need to provide two interpretations of this area.

##### Interpretation 1
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.)

1. **Option A:**
- The proportion of human pregnancies that last less than ( ) or more than ( ) days is ( ).

2. **Option B:**
- The proportion of human pregnancies that last between ( ) and ( ) days is ( ).

##### Interpretation 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. Use ascending order.)

1. **Option A:**
- The probability that a randomly selected human pregnancy lasts between ( ) and ( ) days is ( ).

2. **Option B:**
- The probability that a randomly selected human pregnancy lasts less than ( ) or more than ( ) days is ( ).

#### Graphical Representation
The figure shows a bell-shaped normal distribution curve centered at $x = 266$ days. The two vertical lines highlight the values $x = 290$ days and $x = 305$ days on the horizontal axis. The area between these two lines is shaded, illustrating the given probability of 0.0594 (or 5.94%). The curve is symmetrical around the mean, with values spreading out as per the standard deviation.

By analyzing this graph along with the provided questions, you can develop a strong understanding of how probabilities and proportions work within the realm of normally distributed data.

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