Assume that when human resource managers are randomly selected, 57% say job applicants should follow up within two weeks. If 8 human resource managers are randomly selected, find the probability that exactly 4 of them say job applicants should follow up within two weeks. The probability is. Round to four decimal places as needed.)
Assume that when human resource managers are randomly selected, 57% say job applicants should follow up within two weeks. If 8 human resource managers are randomly selected, find the probability that exactly 4 of them say job applicants should follow up within two weeks. The probability is. Round to four decimal places as needed.)
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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![### Probability of Job Applicant Follow-Up within Two Weeks
**Question:**
Assume that when human resource managers are randomly selected, 57% say job applicants should follow up within two weeks. If 8 human resource managers are randomly selected, find the probability that exactly 4 of them say job applicants should follow up within two weeks.
**Answer:**
The probability is [____].
(Round to four decimal places as needed.)
**Explanation:**
To calculate the probability that exactly 4 out of 8 human resource managers believe job applicants should follow up within two weeks, we use the binomial probability formula:
\[ P(X = k) = \binom{n}{k} p^k (1-p)^{n-k} \]
Where:
- \( n \) is the number of trials (in this case, 8 human resource managers),
- \( k \) is the number of successes (in this case, exactly 4 managers),
- \( p \) is the probability of success on an individual trial (in this case, 57% or 0.57),
- \( \binom{n}{k} \) is the binomial coefficient calculated as \( \frac{n!}{k!(n-k)!} \).
Plugging the values into the formula:
\[ P(X = 4) = \binom{8}{4} (0.57)^4 (1-0.57)^{8-4} \]
After calculating, round your answer to four decimal places. The final answer will be written in the box provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a767b23-c124-4e33-a8c8-1cb736a4d72e%2Fa14fcf9c-4684-44c6-8c8c-33b0f185dfdf%2Fjcotnxx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Probability of Job Applicant Follow-Up within Two Weeks
**Question:**
Assume that when human resource managers are randomly selected, 57% say job applicants should follow up within two weeks. If 8 human resource managers are randomly selected, find the probability that exactly 4 of them say job applicants should follow up within two weeks.
**Answer:**
The probability is [____].
(Round to four decimal places as needed.)
**Explanation:**
To calculate the probability that exactly 4 out of 8 human resource managers believe job applicants should follow up within two weeks, we use the binomial probability formula:
\[ P(X = k) = \binom{n}{k} p^k (1-p)^{n-k} \]
Where:
- \( n \) is the number of trials (in this case, 8 human resource managers),
- \( k \) is the number of successes (in this case, exactly 4 managers),
- \( p \) is the probability of success on an individual trial (in this case, 57% or 0.57),
- \( \binom{n}{k} \) is the binomial coefficient calculated as \( \frac{n!}{k!(n-k)!} \).
Plugging the values into the formula:
\[ P(X = 4) = \binom{8}{4} (0.57)^4 (1-0.57)^{8-4} \]
After calculating, round your answer to four decimal places. The final answer will be written in the box provided.
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