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Assume that when adults with smartphones are randomly selected, 39% use them in meetings or classes. If 9 adult smartphone users are randomly selected, find the probability that exactly 5 of them use their smartphones in meetings or classes.

Assume that when adults with smartphones are randomly selected, 39% use them in meetings or classes. If 9 adult smartphone users are randomly selected, find the probability that exactly 5 of them use their smartphones in meetings or classes.

MATLAB: An Introduction with Applications
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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**Solving Probability Problem Using Binomial Distribution** **Problem Statement:** Assume that when adults with smartphones are randomly selected, 39% use them in meetings or classes. If 9 adult smartphone users are randomly selected, find the probability that exactly 5 of them use their smartphones in meetings or classes. **Step-by-Step Solution:** 1. **Definitions:** - Let \( n \) be the number of trials (adult smartphone users selected). - Let \( x \) be the number of successes (adults using phones in meetings/classes). - Let \( p \) be the probability of success on a single trial. 2. **Given Values:** - \( n = 9 \) - \( x = 5 \) - \( p = 0.39 \) 3. **Question:** - We need to find \( P(X = 5) \), the probability that exactly 5 adults use their smartphones in meetings or classes. 4. **Application of Binomial Theorem:** - Using a binomial probability formula, substitute the given values of \( n \), \( x \), and \( p \) into the equation to calculate the probability. 5. **Solution:** - Calculate \( P(X = 5) \) using appropriate statistical tools/software. **Outcome:** - Enter the calculated probability value rounded to four decimal places. **Note:** - Ensure you understand how to manipulate the formula and input values correctly for accuracy. **Additional Information:** For educational purposes, understanding the binomial distribution and its application in probability is crucial, especially in real-world contexts like smartphone usage patterns. This skill is essential for analyzing data and making informed decisions based on statistical probabilities.
Transcribed Image Text:**Solving Probability Problem Using Binomial Distribution** **Problem Statement:** Assume that when adults with smartphones are randomly selected, 39% use them in meetings or classes. If 9 adult smartphone users are randomly selected, find the probability that exactly 5 of them use their smartphones in meetings or classes. **Step-by-Step Solution:** 1. **Definitions:** - Let \( n \) be the number of trials (adult smartphone users selected). - Let \( x \) be the number of successes (adults using phones in meetings/classes). - Let \( p \) be the probability of success on a single trial. 2. **Given Values:** - \( n = 9 \) - \( x = 5 \) - \( p = 0.39 \) 3. **Question:** - We need to find \( P(X = 5) \), the probability that exactly 5 adults use their smartphones in meetings or classes. 4. **Application of Binomial Theorem:** - Using a binomial probability formula, substitute the given values of \( n \), \( x \), and \( p \) into the equation to calculate the probability. 5. **Solution:** - Calculate \( P(X = 5) \) using appropriate statistical tools/software. **Outcome:** - Enter the calculated probability value rounded to four decimal places. **Note:** - Ensure you understand how to manipulate the formula and input values correctly for accuracy. **Additional Information:** For educational purposes, understanding the binomial distribution and its application in probability is crucial, especially in real-world contexts like smartphone usage patterns. This skill is essential for analyzing data and making informed decisions based on statistical probabilities.
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