### 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.

Name: ### Probability Assignment: Coin Flip ExperimentIn this exercise, you
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
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

As per our honor code, we will be answering first question. For the given scenario, the given…

Math

Statistics

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

See similar textbooks

Related questions

Q: A quick quiz consists of a multiple-choice question with 5 possible answers followed by a true/false…

A: Given dataMultiple choice questions with 5 possible answers followed by a true and false5 possible…

Q: A sample mean has a z= -4.0 on the sampling distribution created from the population of psychology…

Q: After 5 points are added to each score in a sample, the mean is found to be M=45 . What was the…

A: Given data: c = 5 points are added to each score in a sample. New mean, M = 45 Let the original mean…

Q: Find the range, the standard deviation, and the variance for the given samples. Round non-integer…

Q: In a recent survey, 303 out of 350 residents of Salem, MA said they are planning on passing candy…

A: here given , 303 out of 350 residents of Salem, MA said they are planning on passing candy during…

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

Q: Find the means, variance, and standard deviation. Data: 10, 60, 50, 30, 40, 20,25

A: We have given that, X :- 10, 60, 50, 30, 40, 20, 25 Then, We will find the Mean, Variance and…

Q: Find the range, the standard deviation, and the variance for the given samples. Round non-integer…

A: Range: The range of a data set is: Range = Maximum – Minimum. A careful observation of the data set…

Q: A research firm claims that the distribution of the days of the week that people are most likely to…

A: The question is about categorical data analysis.Given :

Q: After six biology tests, Ruben has a mean score of 76. What score does Ruben need on the next test…

A: After 6 biology tests : Mean = 76 After next test : ( biology test will be 7 now ) Mean =78…

Q: Steven ran the 100 meter dash in 13 seconds. What is his T-score if the class mean was 14 seconds…

A: t statistic

Q: A professor grades students on four tests, a term paper, and a final examination. Each test counts…

Q: The average count calculation errors at a local accounting firm per 12-h shift are 2.8. What is the…

A: Given that : λ=2.8

Q: A student takes a multiple-choice test that has 6 questions. Each question has four choices. student…

A: It is given that, A student takes a multiple-choice test that has 6 questions i.e. n=6 Each…

Q: A professor grades students on three tests, four quizzes, and a final examination. Each test counts…

A: It is given that Sara has test scores of 95, 70, and 86, quiz scores are 91, 66, 76, 85 and her…

Q: Allie has 5 exam scores 98, 94, 84, 95 and 95 in math class. What score does she need on the final…

A: According to questionAllie has 5 exam scores 98, 94,84,95 and 95 in math classWe have to calculate…

Q: 1. How are the collection of all sample proportions of samples of size 172 distributed? NO 2. What…

A: Given Information: Sample size (n) = 172 studentsPopulation Proportion (p) = 0.51. The distribution…

Q: Construct a Probability Distribution for the data and create a bar graph of the distribution, find…

A: Given information: x 0 1 2 3 p(x) 6/15 5/15 3/15 1/15 Find: Bar graph of the given…

Q: A quick quiz consists of a true/false question followed by a multiple-choice question with 6…

Q: A jar contains four times as many red marbles as blue marbles. What is the probability of drawing a…

A: Consider that there is total x blue marbles in the jar.

Q: Construct a probability distribution for the sum shown on the faces when two dice, each with 8…

A: From the provided information, Two dice with 8 faces are rolled. Total outcomes = 8 × 8 = 64

Q: The time to fly via a commercial airliner from Newark airport to Atlanta follows a uniform…

A: We have to find out given probability..

Q: The table summarizes results from 978 pedestrian deaths that were caused by automobile accidents.…

A: Pedestrian Intoxicated Total DriverIntoxicated Yes No Yes 52 72 124 No 263 591 854…

Q: What is the probability the pedestrian was not intoxicated

A: Given data The table summarizes results from 990 pedestrian deaths Driver intoxicated?…

Q: box contains three $1 bills, two $5 bills, one $10 bill, and one $20 bill. Construct a probability…

A: Given that, A box contains three $1 bills, two $5 bills, one $10 bill, and one $20 bill.

Q: Find the range, the standard deviation, and the variance for the given samples. Round non-integers…

A: Given data is74,80,76,70,69,87,59,66,52Arrange the data in ascending…

Q: Find the range, the standard deviation, and the variance for the given samples. Round non-integer…

A: First step is to arrange the data in ascending order (smallest to largest). 45 ,51, 61 , 64 , 66 ,…

Q: Determine whether each sample is a random sample or a biased sample. Explain. 1. Carlos chooses 50…

A: Given that Carlos chooses 50 movies at random from a list of all his movies. Since he picked them…

Q: The mean of the scores 2, 2, 2, 6 is?

A: Given score is2,2,2,6

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.

Topic Video

Question

### Probability Assignment: Coin Flip Experiment

In 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
- Probability

This 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 CARRY

Note: 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**: 8,000

To 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.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Find the range, the standard deviation, and the variance for the given samples. Round non-integer results to the nearest tenth. 75, 58, 61, 63, 48, 96, 49, 82, 97
The highest score in a distribution is 74 and the lowest score is 51. What is the range?
We have a population of frogs with a mean weight of 0.9 pounds. We select four frogs and find their average weight. What do you suppose it will be?
Ti A fitness instructor at a large gym would like to know if the individuals that take fitness classes in the morning tend to get in a greater number of steps than individuals that take evening fitness classes. She selects a random sample of 10 individuals that take fitness classes in the morning and 10 individuals that take fitness classes in the evening. She gives each person a step-counting At 10 device to wear for one week. At the end of the week she collects the devices and calculates the mean and standard deviation of the number of steps taken by the individuals in each group. Let uM = the true mean number of steps taken by all individuals who take fitness classes in the morning and HE = the true mean number of steps taken by all individuals who take fitness classes in the evening. What are the appropriate hypotheses for this test? O Ho: HM - HE = 0; Ho: HM - HE 0; H: HM - HE = 0 O Ho: HM HE = 0; Ha: HM - HE > 0 O Ho: HM HE < 0; H HM - HE = 0 O Ho: HM - HE - 0: H HM - HE #0
Find the range, the standard deviation, and the variance for the given samples. Round non-integer results to the nearest tenth. 80, 82, 78, 45, 58, 52, 99, 86, 73