**Understanding Normal Distribution of Female Pulse Rates**Assume that females have pulse rates that are normally distributed with a mean (\( \mu \)) of 72.0 beats per minute and a standard deviation (\( \sigma \)) of 12.5 beats per minute. Let's explore the following scenarios:### Part (a)**Scenario:**If 1 adult female is randomly selected, find the probability that her pulse rate is between 65 beats per minute and 79 beats per minute.**Solution:**The probability is \( \mathbf{0.4246} \).*(Round to four decimal places as needed.)*### Part (b)**Scenario:**If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean between 65 beats per minute and 79 beats per minute.**Solution:**The probability is \( \mathbf{0.9750} \).*(Round to four decimal places as needed.)*### Part (c)**Question:**Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?**Answer Choices:**- **A.** Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.- **B.** Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size.- **C.** Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size.- **D.** Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size.**Correct Answer:**- **A.** Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.This principle is rooted in the Central Limit Theorem, which states that if the population from which a sample is drawn is normally distributed, then the sampling distribution of the sample mean will also be normally distributed, regardless of the sample size.

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Description: **Understanding Normal Distribution of Female Pulse Rates**Assume that females have pulse rates that are normally distributed with a mean (\( \mu \)) of 72.0 beats per minute and a standard deviation (\( \sigma \)) of 12.5 beats per minute. Let's ex

Given that The pulse rates are normally distributed. Mean = 72 beats per minute. standard deviation…

Math

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Assume that females have pulse rates that are normally distributed with a mean of u = 72.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below.

Assume that females have pulse rates that are normally distributed with a mean of u = 72.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below.

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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