### Probability of Pregnancy Length#### Problem StatementAssume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the variable $ x $ is normally distributed.#### Graph Explanation- **Graph Title:** Pregnancy Length in a Population of New Mothers- **Type:** Normal distribution curve- **Variable $ x $:** Pregnancy length in days- **Mean (μ):** 270 days- **Standard Deviation (σ):** 11 daysThe graph shows a normal distribution curve where:- The shaded region represents the range $ 280 < x < 291 $.- The graph's x-axis is labeled "Pregnancy length (in days)".- The shaded area on the right side of the curve indicates the probability of pregnancy lengths between 280 and 291 days.#### TaskCalculate the probability of a randomly selected pregnancy length being in the shaded region of $ 280 < x < 291 $. Provide your answer rounded to four decimal places.\[ \text{The probability that the member selected at random is from the shaded area of the graph is } \_\_\_\_ . \]

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Description: ### Probability of Pregnancy Length#### Problem StatementAssume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the v

Draw the normal curve and shade the area between z=0.9091 and z=1.9091. The required shaded area under the normal curve is Use excel formula "=NORM.S.DIST(1.9091, TRUE)" and "=NORM.S.DIST(0.9091, TRUE)" to find the probability. Therefore, the probability is

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Pregnancy Length in a Population of New Mothers Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the variable x is normally distributed. 280

Pregnancy Length in a Population of New Mothers Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the variable x is normally distributed. 280

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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### Probability of Pregnancy Length

#### Problem Statement

Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the variable $ x $ is normally distributed.

#### Graph Explanation

- **Graph Title:** Pregnancy Length in a Population of New Mothers
- **Type:** Normal distribution curve
- **Variable $ x $:** Pregnancy length in days
- **Mean (μ):** 270 days
- **Standard Deviation (σ):** 11 days

The graph shows a normal distribution curve where:
- The shaded region represents the range $ 280 < x < 291 $.
- The graph's x-axis is labeled "Pregnancy length (in days)".
- The shaded area on the right side of the curve indicates the probability of pregnancy lengths between 280 and 291 days.

#### Task

Calculate the probability of a randomly selected pregnancy length being in the shaded region of $ 280 < x < 291 $. Provide your answer rounded to four decimal places.

\[ \text{The probability that the member selected at random is from the shaded area of the graph is } \_\_\_\_ . \]

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