For the scenarios listed in photo. determine whether the binomial distribution is the appropriate distribution for the random variable X? Then show full work explaining what the probability (p-value) that X equals 8 if X is a binomial random variable with distribution B(10, 0.7). **Transcription for Educational Site:**---**Probability Scenarios and Random Variables**This section explores different scenarios involving probability and introduces random variables represented by 'X' for each case. 1. **Coin Tossing Experiment:** - **Scenario I:** A fair coin is flipped ten times. Let X represent the number of times the coin comes up tails.2. **Repeated Coin Flipping:** - **Scenario II:** A fair coin is flipped multiple times. Let X denote the number of flips required to achieve ten tails.3. **Roulette Wheel Experiment:** - **Scenario III:** A roulette wheel with one ball is spun six times. Let X signify the number of times the ball lands on red.4. **Committee Selection:** - **Scenario IV:** There are ten people in the room, consisting of five men and five women. Three people are selected at random to form a committee. Let X be the number of men on the three-person committee.---Each scenario introduces a distinct experiment involving randomness, helping learners understand the application of probability in various contexts.

Whether the binomial distribution is a suitable model for each circumstance needs to be determined.…

1.) A fair coin is flipped ten times. Let X = the number of times the coin comes up tails. II.) A fair coin is flipped multiple times. Let X = the number of times the coin needs to be flipped until we see ten tails. III.) A roulette wheel with one ball in it is turned six times. Let X = the number of times the ball lands on red. IV.) There are ten people in the room: five men and five women. Three people are to be selected at random to form a committee. Let X = the number of men on the three-person committee.

1.) A fair coin is flipped ten times. Let X = the number of times the coin comes up tails. II.) A fair coin is flipped multiple times. Let X = the number of times the coin needs to be flipped until we see ten tails. III.) A roulette wheel with one ball in it is turned six times. Let X = the number of times the ball lands on red. IV.) There are ten people in the room: five men and five women. Three people are to be selected at random to form a committee. Let X = the number of men on the three-person committee.

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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Question

For the scenarios listed in photo. determine whether the binomial distribution is the appropriate distribution for the random variable X? Then show full work explaining what the probability (p-value) that X equals 8 if X is a binomial random variable with distribution B(10, 0.7).

**Transcription for Educational Site:**

---

**Probability Scenarios and Random Variables**

This section explores different scenarios involving probability and introduces random variables represented by 'X' for each case.

1. **Coin Tossing Experiment:**
- **Scenario I:** A fair coin is flipped ten times. Let X represent the number of times the coin comes up tails.

2. **Repeated Coin Flipping:**
- **Scenario II:** A fair coin is flipped multiple times. Let X denote the number of flips required to achieve ten tails.

3. **Roulette Wheel Experiment:**
- **Scenario III:** A roulette wheel with one ball is spun six times. Let X signify the number of times the ball lands on red.

4. **Committee Selection:**
- **Scenario IV:** There are ten people in the room, consisting of five men and five women. Three people are selected at random to form a committee. Let X be the number of men on the three-person committee.

---

Each scenario introduces a distinct experiment involving randomness, helping learners understand the application of probability in various contexts.

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