Find the probability that a person flipping a coin gets (a) the seventh head on the eleventh flip, and (b) the first head on the third flip. (a) The probability that a person flipping a coin gets the seventh head on the eleventh flip is. (Round to four decimal places as needed.)
Find the probability that a person flipping a coin gets (a) the seventh head on the eleventh flip, and (b) the first head on the third flip. (a) The probability that a person flipping a coin gets the seventh head on the eleventh flip 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
Related questions
Question
![**Coin Flipping Probability Problem**
Find the probability that a person flipping a coin gets:
(a) The seventh head on the eleventh flip.
(b) The first head on the third flip.
---
**Part (a)**
The probability that a person flipping a coin gets the seventh head on the eleventh flip is [ ].
(Round to four decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe7e575d-dfd7-411c-ad5f-62e2be64ba9f%2F70511a8f-c9cf-4bea-af2d-e944615b5951%2Fdyhgmes_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Coin Flipping Probability Problem**
Find the probability that a person flipping a coin gets:
(a) The seventh head on the eleventh flip.
(b) The first head on the third flip.
---
**Part (a)**
The probability that a person flipping a coin gets the seventh head on the eleventh flip is [ ].
(Round to four decimal places as needed.)
![**Problem Statement:**
The probability that a person living in a certain city owns a dog is estimated to be 0.2. Find the probability that the tenth person randomly interviewed in that city is the third one to own a dog.
---
**Solution:**
The probability that the tenth person randomly interviewed in that city is the third one to own a dog is [ ].
*(Round to four decimal places as needed.)*
---
**Explanation:**
This problem is related to a type of probability distribution known as the negative binomial distribution, which applies when you are looking for the probability of a specific number of successes in a sequence of independent and identically distributed Bernoulli trials before a specified number of failures occurs. In this case, the success is defined as a person owning a dog (probability 0.2), and you are interested in finding when the third success occurs.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe7e575d-dfd7-411c-ad5f-62e2be64ba9f%2F70511a8f-c9cf-4bea-af2d-e944615b5951%2Fqpy1gp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
The probability that a person living in a certain city owns a dog is estimated to be 0.2. Find the probability that the tenth person randomly interviewed in that city is the third one to own a dog.
---
**Solution:**
The probability that the tenth person randomly interviewed in that city is the third one to own a dog is [ ].
*(Round to four decimal places as needed.)*
---
**Explanation:**
This problem is related to a type of probability distribution known as the negative binomial distribution, which applies when you are looking for the probability of a specific number of successes in a sequence of independent and identically distributed Bernoulli trials before a specified number of failures occurs. In this case, the success is defined as a person owning a dog (probability 0.2), and you are interested in finding when the third success occurs.
Expert Solution
Step 1: Introduction
Given data is
We have to find probability for
- seventh head on the eleventh flip
- first head on third flip
Step by step
Solved in 4 steps
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