If a procedure meets all of the conditions of a binomial distribution except the number of trials is not fixed, then the geometric distribution can be used. The probability of getting the first success on the xth trial is given by P(x) = p(1-p)*, where p is the probability of success on any one trial. Subjects are randomly selected for a health survey. The probability that someone is a universal donor (with group O and type Rh negative blood) is 0.07. Find the probability that the first subject to be a universal blood donor is the eighth person selected. The probability is. (Round to four decimal places as needed.)
If a procedure meets all of the conditions of a binomial distribution except the number of trials is not fixed, then the geometric distribution can be used. The probability of getting the first success on the xth trial is given by P(x) = p(1-p)*, where p is the probability of success on any one trial. Subjects are randomly selected for a health survey. The probability that someone is a universal donor (with group O and type Rh negative blood) is 0.07. Find the probability that the first subject to be a universal blood donor is the eighth person selected. 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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![**Title: Understanding Geometric Distributions in Health Surveys**
If a procedure meets all of the conditions of a binomial distribution except the number of trials is not fixed, then the geometric distribution can be used. The probability of getting the first success on the \( x \)th trial is given by \( P(x) = p(1 - p)^{x - 1} \), where \( p \) is the probability of success on any one trial. Subjects are randomly selected for a health survey. The probability that someone is a universal donor (with group O and type Rh negative blood) is 0.07. Find the probability that the first subject to be a universal blood donor is the eighth person selected.
**The probability is** [ ].
*(Round to four decimal places as needed.)*
**Graph Explanation:**
The interactive section (indicated by: "Enter your answer in the answer box") is designed for users to input their probability calculations based on their application of the geometric distribution formula provided.
This educational segment guides learners through calculating the likelihood of specific outcomes when considering random selection scenarios, specifically in health-related surveys.
[Ensure to complete the interactive part by entering numerical solutions derived from the given formula and given probability. Use calculators or statistical software if necessary to accomplish accurate results.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77539088-565f-4afc-94a2-fa06d09c60a8%2Fa6ed6284-f4d6-4b27-b5cc-cc5d078c3acf%2Fhpm1mpc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Understanding Geometric Distributions in Health Surveys**
If a procedure meets all of the conditions of a binomial distribution except the number of trials is not fixed, then the geometric distribution can be used. The probability of getting the first success on the \( x \)th trial is given by \( P(x) = p(1 - p)^{x - 1} \), where \( p \) is the probability of success on any one trial. Subjects are randomly selected for a health survey. The probability that someone is a universal donor (with group O and type Rh negative blood) is 0.07. Find the probability that the first subject to be a universal blood donor is the eighth person selected.
**The probability is** [ ].
*(Round to four decimal places as needed.)*
**Graph Explanation:**
The interactive section (indicated by: "Enter your answer in the answer box") is designed for users to input their probability calculations based on their application of the geometric distribution formula provided.
This educational segment guides learners through calculating the likelihood of specific outcomes when considering random selection scenarios, specifically in health-related surveys.
[Ensure to complete the interactive part by entering numerical solutions derived from the given formula and given probability. Use calculators or statistical software if necessary to accomplish accurate results.]
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