Assume that when adults with smartphones are randomly selected, 52% use them in meetings or classes. If 13 adult smartphone users are randomly selected, find the probability that fewer than 5 of them use their smartphones in meetings or classes.
Assume that when adults with smartphones are randomly selected, 52% use them in meetings or classes. If 13 adult smartphone users are randomly selected, find the probability that fewer than 5 of them use their smartphones in meetings or classes.
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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![**Problem Statement:**
Assume that when adults with smartphones are randomly selected, 52% use them in meetings or classes. If 13 adult smartphone users are randomly selected, find the probability that fewer than 5 of them use their smartphones in meetings or classes.
**Instructions:**
The probability is [ ]
(Type an integer or decimal rounded to four decimal places as needed.)
---
**Explanation:**
To find the probability, we can use the binomial probability formula:
\[ P(X < k) = \sum_{x=0}^{k-1} \binom{n}{x} p^x (1-p)^{n-x} \]
Where:
- \( n = 13 \) (the number of trials)
- \( p = 0.52 \) (the probability of success on a single trial)
- \( k = 5 \) (fewer than 5 successes)
This calculation involves summing up the probabilities for 0, 1, 2, 3, and 4 successes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb2f53b00-06a8-498f-8336-39884f19308e%2F2049a206-e9d1-4c31-aea8-e51323fafc05%2F6asu49i.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Assume that when adults with smartphones are randomly selected, 52% use them in meetings or classes. If 13 adult smartphone users are randomly selected, find the probability that fewer than 5 of them use their smartphones in meetings or classes.
**Instructions:**
The probability is [ ]
(Type an integer or decimal rounded to four decimal places as needed.)
---
**Explanation:**
To find the probability, we can use the binomial probability formula:
\[ P(X < k) = \sum_{x=0}^{k-1} \binom{n}{x} p^x (1-p)^{n-x} \]
Where:
- \( n = 13 \) (the number of trials)
- \( p = 0.52 \) (the probability of success on a single trial)
- \( k = 5 \) (fewer than 5 successes)
This calculation involves summing up the probabilities for 0, 1, 2, 3, and 4 successes.
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