**Probability Problem: Traffic Fatalities and Alcohol Impairment****Problem Statement:**The probability is 0.3 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In six traffic fatalities, find the probability that the number, Y, which involves an intoxicated or alcohol-impaired driver or nonoccupant is:a. exactly three,b. at least three,c. at most three,d. between two and four, inclusive,e. Find and interpret the mean of the random variable Y,f. Obtain the standard deviation of Y.**Instructions for Part (a):**a.”The probability that exactly three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is ______ (Round to four decimal places as needed.)”**Solution Steps:**1. Identify the parameters of the binomial distribution: - Probability of success (p): 0.3 - Number of trials (n): 6 - Number of successes (k): Variable, depending on which part of the problem you are solving.2. Use the binomial probability formula for the specific scenarios provided in the problem statement.**Details and Instructions:**- Use a calculator or statistical software to compute the probabilities accurately.- For part (a), calculate using the formula for exactly three successes: \[ P(X = 3) = \binom{6}{3} (0.3)^3 (0.7)^{(6-3)} \]**Graph/Diagram Explanation:**No graphs or diagrams are present in the image. However, understanding the binomial distribution graphically can help:- Consider a histogram where the x-axis represents the number of intoxicated fatalities (from 0 to 6).- The y-axis represents the probability of each outcome.**Important Concepts:**- **Binomial Distribution:** A probability distribution that summarizes the likelihood that a value will take one of two independent states and is commonly used for scenarios like the given problem.- **Mean of a Binomial Distribution (μ):** Calculated as $ n \times p $.- **Standard Deviation of a Binomial Distribution (σ):** Calculated as $ \sqrt{n \times p \times (1-p)} $.By applying these principles, you can solve the entire problem systematically. Ensure to round your answers as specified.

Given: The probability is 0.3 that a traffic fatality involves an intoxicated or alcohol-impaired…

Answered: The probability is 0.3 that a traffic…

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

Similar questions

Autumn has purchased the insurance policy from an insurance company to cover the value of hers house in case if it gets destroyed due to a fire for the price of $1600 per year. Autumn's house is worth $370000 and the probability that fire destroys the house during the length of the policy is estimated to be 0.4%. Let XX be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for XX : XX outcome profit xx ,$ P(X=x)P(X=x) the house is destroyed the house survived 2. Use the probability distribution table to find the following: E[X]=μX=E[X]=μX= dollars. (Round the answer to 1 decimal place.) SD[X]=σX=SD[X]=σX= dollars. (Round the answer to 1 decimal place.)
Next Question Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table Drive-thru Restaurant D A. D 260 56 231 Order Accurate Order Not Accurate 335 37 141 40 17 If one order is selected, find the probability of getting an order from restaurant A or D or an order that is not accurate. The probability of getting an order from restaurant A or D or an order that is not accurate is (Round to three decimal places as needed.) Enter your answer in the answer box 15 AM 12/7/2020 LG
Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant A B C D Order Accurate 314 277 244 131 Order Not Accurate 33 51 34 18 If three different orders are selected, find the probability that they are all from restaurant D.
The probability is 0.35 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In nine traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three; at least three; at most three. b. between two and four, inclusive. c. Find and interpret the mean of the random variable Y. d. Obtain the standard deviation of Y. a. The probability that exactly three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is enter your response here. (Round to four decimal places as needed.) Part 2 The probability that at least three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is enter your response here. (Round to four decimal places as needed.) Part 3 The probability that at most three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is enter your…
Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The time required to download a file from the Internet b. The height of a randomly selected giraffe c. The eye color of people on commercial aircraft flights d. The number of free-throw attempts before the first shot is made e. The amount of rain in City B during April f. The number of hits to a website in a day a. Is the time required to download a file from the Internet a discrete random variable, a continuous random variable, or not a random variable? A. It is a discrete random variable. B. It is a continuous random variable. C. It is not a random variable. b. Is the height of a randomly selected giraffe a discrete random variable, a continuous random variable, or not a random variable? A. It is a discrete random variable. B. It is a continuous random variable. C. It is not a random variable c. Is the eye color of people on commercial aircraft flights a discrete random…
Let X denote that number of years I will use my current computer, and Y the number of years that I will use my tablet. The joint distribution of X and Y is as shown below: What is the probability that I will use the tablet for exactly one year? a b Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. с 0.082 e 0.160 0.210 d 0.344 Y 0.400 1 2 3 X 1 2 3 0.05 0.16 0.19 0.10 0.13 0.12 0.07 0.10 0.08
The probability is 0.45 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In seven traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three; at least three; at most three. b. between two and four, inclusive. c. Find and interpret the mean of the random variable Y. d. Obtain the standard deviation of Y. a. The probability that exactly three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is (Round to four decimal places as needed.) ols Enter your answer in the answer box and then click Check Answer. 6 parts remaining Clear All Check Answer 70 MacBook Air
The probability is 0.35 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In six traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three; at least three; at most three. b. between two and four, inclusive. c. Find and interpret the mean of the random variable Y. d. Obtain the standard deviation of Y. Only typing answer Please explain step by step
Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant A B C D Order Accurate 318 268 233 140 Order Not Accurate 33 51 39 13 If one order is selected, find the probability of getting an order from restaurant B or C or an order that is not accurate.
Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The time required to download a file from the Internet b. The number of fish caught during a fishing tournament c. The response to the survey question "Did you smoke in the last week?" d. The distance a baseball travels in the air after being hit e. The number of hits to a website in a day f. The time it takes for a light bulb to burn out a. Is the time required to download a file from the Internet a discrete random variable, a continuous random variable, or not a random variable? C O A. It is a continuous random variable. O B. It is a discrete random variable. O C. It is not a random variable. b. Is the number of fish caught during a fishing tournament discrete random variable, a continuous random variable, or not a random variable? O A. It is a continuous random variable. O B. It is a discrete random variable. O C. It is not a random variable c. Is the response to the…
Determine whether each random variable is discrete or continuous. Answer only DISCRETE OR CONTINUOUS.a. The number of boys in a three-child family chosen at random.b. A cup of coffee served at a restaurant's temperature.c. The number of no-shows for every 100 commercial airline reservations.d. The number of automobiles owned by a household chosen at random.e. The average amount spent on electricity by a randomly selected household ineach state during the month of July.
The probability is 0.4 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In six traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three; at least three; at most three. b. between two and four, inclusive. c. Find and interpret the mean of the random variable Y. a. The probability that exactly three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at least three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at most three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) b. The probability that between two and four…

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS