**Text Transcription for Educational Website:**---According to AAA, the average price for a gallon of regular gas in North Carolina is $2.63. Assume that the gas price is normally distributed with a standard deviation of $0.17.4. Sketch the density function of the gas price. In your graph, indicate the probability that the price is greater than $2.75 (no calculations necessary).---**Graph/Diagram Explanation:**This task involves sketching a normal distribution curve (bell curve), representing the distribution of gas prices. The curve should be centered at the mean price of $2.63. The standard deviation of $0.17 will determine the width and shape of the curve.To address the problem, locate $2.75 on the horizontal axis. Shade the area under the curve to the right of $2.75 to represent the probability that the gas price is greater than $2.75. This shaded area indicates the likelihood of prices exceeding this value.No specific calculations of the actual probability are required; just illustrating the area graphically will suffice.

Given that the gas price is normally distributed. Mean = $2.63 Standard deviation = $0.17

According to AAA, the average price for a gallon of regular gas in North Carolina is $2.63. Assume that the gas price is normally distributed with a standard deviation of $0.17. 4. Sketch the density function of the gas price. In your graph, indicate the probability that the price is greater than $2.75 (no calculations necessary).

According to AAA, the average price for a gallon of regular gas in North Carolina is $2.63. Assume that the gas price is normally distributed with a standard deviation of $0.17. 4. Sketch the density function of the gas price. In your graph, indicate the probability that the price is greater than $2.75 (no calculations necessary).

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Find t0.95t0.95 for TT distribution with 2020 degrees of freedom. t0.95=t0.95= (Round the answer to…

A: The given degrees of freedom is 20 and area is 0.95.

Q: Scores on a test have a mean of 86 and a standard deviation of 13. Jerrica has a score of 94.…

Q: The main temperature in Dallas in July for Dallas Texas is 85° assuming a normal distribution what…

A: Let us denote X=the temperature in Dallas in July X follows a normal distribution with mean= 85 and…

Q: In a recent survey of 150 teenagers, 93 stated that they always wear their seat belt when they…

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

Q: HumanPregnancy Norm STEM Assume that the length of human pregnancies from conception to birth varies…

Q: 5. Losses X follow a paralogistic distribution with 0 =5000 and a = 3. An insurance coverage for X…

A: Given : θ = 5000α = 3

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: Step 1: Sketch the regionSince we are making a graph for a bone density test score between -2.05 and…

Q: High levels of cholesterol in the blood increase the risk of heart disease. For teenage boys, the…

Q: Assume time to faliure density function (in months) of transplanted kidneys has a Weibull…

A: Here α=6 and β=3. The density function is given by fx=βxβ-1αβe-xαβ=3*x3-163e-x63=x272e-x63

Q: Find the area of the shaded region. The graph depicts the standard normal distribution of bone…

A: We want to find area of shaded region from standard normal distribution table.

Q: Dr. Lorenzo finds that his patients' heart rates are normally distributed, with an average of 69…

A: The normal distribution has mean = 69 beats and has the standard deviation = 6 beats.

Q: Use Excel/Megastat to create the density probability plot of normal distribution. Take µ = 80 and σ…

A: To create a density probability plot of a normal distribution with mean (µ) 80 and standard…

Q: Calculate Descriptive statistics of logarithmic returns such as Mean, Median, Minimum, Maximum,…

A: Using Excel, Enter the data as given below, Series ID USD AUD CNY JPY EUR…

Q: ) Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard…

A: Let "X" be the IQ score of adults. Find z-value (z): Refer Standard normal table/Z-table, Lookup…

Q: The United Nations stores statistics about all the live births in the United States. The latest data…

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: To solve this problem, we need to identify the cutoff scores that separate the lowest 10% and the…

Q: Find the area of the shaded region. The graph depicts the standard normal distribution of bone…

A: From the given information. We want to find the shades area under shaded area. In-between Z=-.84 and…

Q: A California lake has been stocked with rainbow trout. These trout have an average length of 24…

A: Given Information: Mean μ=24 Standard deviation σ=3 Someone goes fishing and catches a trout that is…

Q: Height and weight are two measurements used to track a child's development. An organization measures…

A: All answers are highlighted in red. The z-score is a measure of how far the standard deviations is…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

**Text Transcription for Educational Website:**

---

According to AAA, the average price for a gallon of regular gas in North Carolina is $2.63. Assume that the gas price is normally distributed with a standard deviation of $0.17.

4. Sketch the density function of the gas price. In your graph, indicate the probability that the price is greater than $2.75 (no calculations necessary).

---

**Graph/Diagram Explanation:**

This task involves sketching a normal distribution curve (bell curve), representing the distribution of gas prices. The curve should be centered at the mean price of $2.63. The standard deviation of $0.17 will determine the width and shape of the curve.

To address the problem, locate $2.75 on the horizontal axis. Shade the area under the curve to the right of $2.75 to represent the probability that the gas price is greater than $2.75. This shaded area indicates the likelihood of prices exceeding this value.

No specific calculations of the actual probability are required; just illustrating the area graphically will suffice.

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: Given in question,

VIEW

Step 2: Sketch the curve

VIEW

Step 3: Probability is given by,

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

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

Similar questions

find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1. z=-0.85 and z=1.29
Explain the difference between the average rate of change and the instantaneousrate of change. Outline the procedure for calculating instantaneous rate of change. Outline the procedure for calculating average rate of change. Outline the basic rules for evaluation of limits.
Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is between -2.05 and 3.87 and draw a sketch of the region. Sketch the region. Choose the correct graph below. OA. OB. OC. OD. -2.05 3.87 2.05 3.87 -2.05 3.87 -2.05 3.87 The probability is (Round to four decimal places as needed.)
Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 times on each car and records the number of miles driven. Median for Car 2 M = 250 mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Full data setO Range for Car 1 R=O mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Car 1 245 242 215 244 220 265 291 160 284 251 169 319 257 306 267 Range for Car 2 R=O mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Car 2 230 206 214 236 242 256 245 255 241 264 276 252 250 251 257
please answer all subparts
David and Patrick are playing baseball for the Cafe Tropical team. Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. If X = distance in feet for a fly ball, then X ~ N ( , ) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled less than 220 feet? Sketch the graph. Scale the horizontal axis X. Shade the region corresponding to the probability. Find the probability. P = Find the 80th percentile of the distribution of fly balls. 80th Percentile: feet
The trunk diameter, in centimeters, of a certain variety of pine tree is represented by X~N(150, 30). What is the 75th percentile of trunk diameters? Round to two decimal places.
Use the Weibull distribution to model ocean wave heights. Assume that the mean wave height at the observation station is 2.5 meters and the shape parameter equals 2. Determine the standard deviation of wave height.