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Heip The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 307 days or longer. b. If the length of pregnancy is in the lowest 25 then the baby is premature. Find the length that separates premature babies from those who are not premature. Click to view page 1 of the table. Click to view page 2 of the table. a. The probability that a pregnancy will last 307 days or longer is (Round to four decimal places as needed.)

Heip The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 307 days or longer. b. If the length of pregnancy is in the lowest 25 then the baby is premature. Find the length that separates premature babies from those who are not premature. Click to view page 1 of the table. Click to view page 2 of the table. a. The probability that a pregnancy will last 307 days or longer is (Round to four decimal places as needed.)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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### Understanding Pregnancy Length Distributions The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 15 days. This information can help us understand and predict various outcomes related to pregnancy lengths. #### Scenario Analysis 1. **Probability Calculation: Pregnancy Lasting 307 Days or Longer** To find the probability of a pregnancy lasting 307 days or longer, we need to determine how far 307 days is from the mean in terms of the standard deviation (z-score). 2. **Identifying Premature Babies** Premature babies are those born significantly earlier than the average pregnancy length. We are particularly interested in identifying the length of pregnancy that lies in the lowest 2% of this distribution. #### Interactive Component - **Click to View Z-table**: To determine the z-scores corresponding to certain probabilities, you can refer to the standard normal distribution table (Z-table). - [Click to view page 1 of the table](#) - [Click to view page 2 of the table](#) #### Example Calculation - **Probability that a pregnancy will last 307 days or longer:** (Round to four decimal places as needed). - **Premature Classification**: If the length of pregnancy is in the lowest 2%, it is considered premature. Calculate the corresponding pregnancy length that marks this threshold. #### Input and Analysis - **Answer Input**: Enter your answer in the provided answer box and click "Check Answer" to verify your response. ```markdown Enter your answer in the answer box and then click Check Answer: (Answer Box for Question) 1 part remaining ``` This information can be part of an educational module on statistics, specifically on the usage of normal distribution in real-world scenarios such as pregnancy length analysis.
Transcribed Image Text:### Understanding Pregnancy Length Distributions The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 15 days. This information can help us understand and predict various outcomes related to pregnancy lengths. #### Scenario Analysis 1. **Probability Calculation: Pregnancy Lasting 307 Days or Longer** To find the probability of a pregnancy lasting 307 days or longer, we need to determine how far 307 days is from the mean in terms of the standard deviation (z-score). 2. **Identifying Premature Babies** Premature babies are those born significantly earlier than the average pregnancy length. We are particularly interested in identifying the length of pregnancy that lies in the lowest 2% of this distribution. #### Interactive Component - **Click to View Z-table**: To determine the z-scores corresponding to certain probabilities, you can refer to the standard normal distribution table (Z-table). - [Click to view page 1 of the table](#) - [Click to view page 2 of the table](#) #### Example Calculation - **Probability that a pregnancy will last 307 days or longer:** (Round to four decimal places as needed). - **Premature Classification**: If the length of pregnancy is in the lowest 2%, it is considered premature. Calculate the corresponding pregnancy length that marks this threshold. #### Input and Analysis - **Answer Input**: Enter your answer in the provided answer box and click "Check Answer" to verify your response. ```markdown Enter your answer in the answer box and then click Check Answer: (Answer Box for Question) 1 part remaining ``` This information can be part of an educational module on statistics, specifically on the usage of normal distribution in real-world scenarios such as pregnancy length analysis.
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