**Coin Flip Probability Problem**Find the probability that a person flipping a coin gets:(a) the fifth head on the seventh flip,(b) the first head on the fifth flip.This exercise involves using probability to analyze outcomes of sequential coin flips. Let’s break each part down:### Part (a): Fifth Head on the Seventh FlipTo achieve the fifth head on the seventh flip, it implies there must be exactly four heads in the first six flips, followed by a head on the seventh flip. This is a classic problem of probability involving combinations and specific outcomes.### Part (b): First Head on the Fifth FlipThis scenario requires obtaining tails in the first four flips, and a head on the fifth. It's an illustration of sequential independent events in probability, where the first specified event happens at a particular stage.Each part of the problem can be approached with the binomial probability formula or geometric probability concepts, tailored to these specific sequential settings.

Name: **Coin Flip Probability Problem**Find the probability that a person f
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Description: **Coin Flip Probability Problem**Find the probability that a person flipping a coin gets:(a) the fifth head on the seventh flip,(b) the first head on the fifth flip.This exercise involves using probability to analyze outcomes of sequential coin flip

Let X be a random variable which represent the number of tosses to get 5 heads. The probability to…

Answered: Find the probability that a person…

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Find the probability that a person flipping a coin gets (a) the fifth head on the seventh flip, and (b) the first head on the fifth flip.

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

**Coin Flip Probability Problem**

Find the probability that a person flipping a coin gets:
(a) the fifth head on the seventh flip,
(b) the first head on the fifth flip.

This exercise involves using probability to analyze outcomes of sequential coin flips. Let’s break each part down:

### Part (a): Fifth Head on the Seventh Flip
To achieve the fifth head on the seventh flip, it implies there must be exactly four heads in the first six flips, followed by a head on the seventh flip. This is a classic problem of probability involving combinations and specific outcomes.

### Part (b): First Head on the Fifth Flip
This scenario requires obtaining tails in the first four flips, and a head on the fifth. It's an illustration of sequential independent events in probability, where the first specified event happens at a particular stage.

Each part of the problem can be approached with the binomial probability formula or geometric probability concepts, tailored to these specific sequential settings.

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