62% of all Americans live in cities with population greater than 100,000 people. If 41 Americans are randomly selected, find the probability that a. Exactly 24 of them live in cities with population greater than 100,000 people. b. At most 27 of them live in cities with population greater than 100,000 people. c. At least 23 of them live in cities with population greater than 100,000 people. d. Between 23 and 30 (including 23 and 30) of them live in cities with population greater than 100,000 people.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Certainly! Here’s a transcription suitable for an educational website:

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**Problem Statement:**

62% of all Americans live in cities with a population greater than 100,000 people. If 41 Americans are randomly selected, find the probability that:

a. Exactly 24 of them live in cities with a population greater than 100,000 people.

b. At most 27 of them live in cities with a population greater than 100,000 people.

c. At least 23 of them live in cities with a population greater than 100,000 people.

d. Between 23 and 30 (including 23 and 30) of them live in cities with a population greater than 100,000 people.

**Hint:**

- [Hint]

- [Video on Finding Binomial Probabilities](#)

[Submit Question]

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**Additional Information:**

- The text uses binomial probability to determine the likelihood of a certain number of Americans living in large cities based on a random sample.
- To solve these problems, use binomial probability formulas and consider the given percentage of 62%.

**Helpful Resources:**

A link to a video resource on finding binomial probabilities is provided for further explanation and detailed understanding.

--- 

(Note: No graphs or diagrams are present in the image.)
Transcribed Image Text:Certainly! Here’s a transcription suitable for an educational website: --- **Problem Statement:** 62% of all Americans live in cities with a population greater than 100,000 people. If 41 Americans are randomly selected, find the probability that: a. Exactly 24 of them live in cities with a population greater than 100,000 people. b. At most 27 of them live in cities with a population greater than 100,000 people. c. At least 23 of them live in cities with a population greater than 100,000 people. d. Between 23 and 30 (including 23 and 30) of them live in cities with a population greater than 100,000 people. **Hint:** - [Hint] - [Video on Finding Binomial Probabilities](#) [Submit Question] --- **Additional Information:** - The text uses binomial probability to determine the likelihood of a certain number of Americans living in large cities based on a random sample. - To solve these problems, use binomial probability formulas and consider the given percentage of 62%. **Helpful Resources:** A link to a video resource on finding binomial probabilities is provided for further explanation and detailed understanding. --- (Note: No graphs or diagrams are present in the image.)
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