### Probability Assignment: Coin Flip ExperimentIn this exercise, you will flip a fair coin 25 times. Your tasks are to:1. Calculate the probabilities for each possible outcome, from zero heads to 25 heads.2. Calculate the mean and standard deviation of the distribution.3. Compute the z-scores for each outcome.#### Instructions:- **Total Flips (N):** 25- **Probability of Heads (p):** 0.5- **Probability of Tails (q):** 0.5#### Calculations:- **Mean (Expected Value):** - Formula: $ \text{Mean} = N \times p $ - Plug in values: $ \text{Mean} = 25 \times 0.5 $- **Standard Deviation:** - Formula: $ \text{STD DEV} = \sqrt{N \times p \times q} $ - Plug in values: $ \text{STD DEV} = \sqrt{25 \times 0.5 \times 0.5} $#### Outcomes and Probability:Create a table to list each possible outcome (number of heads) and its corresponding probability. This calculation uses the binomial probability formula.- **Table Headers:** - Outcomes - ProbabilityThis task involves understanding and utilizing the binomial distribution, a fundamental concept in probability and statistics, which is pivotal for various fields such as mathematics, data analysis, and risk assessment.### Additional Sheets- **Other Sheets Present:** - GALLUP POLL - Accident - GUN CARRYNote: Make sure to switch to the other tabs for related data analysis tasks not covered in this exercise. **Probability of Gun Carry Privileges**In our city, with a population of 100,000, there are 8,000 people with gun carry privileges. Officer A stopped 25 people today. What is the likelihood that out of those 25 people, at least 10 of them would be carrying a gun?Calculating the Probability- **Population**: 100,000- **Gun Carry Privileges**: 8,000To find the probability that at least 10 of the 25 stopped people are carrying guns, we need $ P(X \geq 10) $.Steps:1. **Variables**: - $ n = 25 $ - $ p = \frac{8000}{100000} $ (probability of one person carrying a gun) - $ q = 1 - p $ (probability of one person not carrying a gun)2. Use a probability calculator or Excel to compute the probabilities for outcomes from 10 to 25 and sum them up.This calculation will determine the probability of at least 10 people carrying a gun out of the 25 stopped.You can use Excel formulas or an online probability calculator to find the exact probability.

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Description: ### Probability Assignment: Coin Flip ExperimentIn this exercise, you will flip a fair coin 25 times. Your tasks are to:1. Calculate the probabilities for each possible outcome, from zero heads to 25 heads.2. Calculate the mean and standard deviatio

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D H. You flip a fair coin for 25 times. Please calculate the probabilities for each possible outcome from zero heads to 25 heads. Calculate mean and standard deviation Calculate z scores for each outcome.

D H. You flip a fair coin for 25 times. Please calculate the probabilities for each possible outcome from zero heads to 25 heads. Calculate mean and standard deviation Calculate z scores for each outcome.

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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