A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is normally distributed with amean of 65 miles and a standard deviation of 6 miles. Find the probability of the following events:A. The car travels more than 71 miles per gallon.Probability =B. The car travels less than 60 miles per gallon.Probability =C. The car travels between 60 and 68 miles per gallon.Probability =

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Answered: A new car that is a gas- and…

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...

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Similar questions

The heights of students are normally distributed with mean 161 inches and standard deviation of 4.56 inches. Find the probability that the probability of height is less than 165 inches?
A door-to-door salesperson is visiting houses in Hamilton to sell internet plans. The probability that a house decides to buy the internet plan is 25%. The salesperson visits 100 houses. Using normal approximation, determine the mean, standard deviation, and probability that less than 30 houses buy the internet plan.
A professor of statistics noticed that the marks in his course are normally distributed. He also noticed that his morning classes average 73% with a standard deviation of 12% on their final exams. His afternoon classes average 79% with a standard deviation of 11%. A. What is the probability that a randomly selected student in the morning class has a higher final exam mark than a randomly selected student from an afternoon class? Probability = B. What is the probability that the mean mark of four randomly selected students from a morning class is greater than the average mark of four randomly selected students from an afternoon class? Probability =
Please answer all parts. Thank you!
An engineer is going to redesign an ejection seat for the airplane. The seat was designed for pilots weighing between 150 and 191 pounds. The new population of pilots has normally distributed weights with a mean of 158 pounds and a standard deviation or 31.1 pounds. a. If a pilot is randomly selected, find the probability that his weight is between 150 lb and 191 lb. b. If 38 pilots are randomly selected, find the probability that their mean weight is between 150 lb and 191 lb. what is the approximate probability? c. When redesigning the ejection seat, which probability is more relevant? part b because the seat performance for a single pilot is more important part b because the seat performance for a sample of pilots is more important Part a because the seat performance for a single pilot is more important part a because the seat performance for a sample of pilots is more important. please show solving steps and if possible tell me how to also get these answers through excel…
The amount of sleep per night for students in Nursing is normally distributed with mean 7.5 hours and standard deviation 0.8 hours. Use the probability tables to determine what percent of nursing students get between 7 and 9 hours of sleep per night.
A civil engineer takes a public ride going to his firm. The average time for his trip is 24 minutes, with a standard deviation of 3.80 minutes. Find the probability that 2 of the next 3 trips will take at least 1/2 hour. Choices: a. 0.3974 b. 0.0571 c. 0.0092 d. 0.0004
A personal computer is used for office work at home, research, communication, personal finances, education, entertainment, social networking, and a myriad of other things. Suppose that the average number of hours a household personal computer is used for entertainment is two hours per day. Assume the times for entertainment are normally distributed and the standard deviation for the times is half an hour. a. Find the probability that a household personal computer is used for entertainment between 1.8 and 2.75 hours per day.
Draw R digram also
1. Lori just bought a set of 4 tires for her car. The life of a tire is normally distributed with a mean of 45000 miles and a standard deviation of 2000 miles. Find the probability that all 4 tires will last for at least 46000 miles. Assume independence of tires between one another.
Customers stay on average 16 minutes in line before they can get into a certain store. The standard deviation is 4 minutes, and you should assume this normally distributed. a. Find the probability that a randomly picked individual will wait between 10 and 20 minutes. b. What proportion of waiting time falls above 24 min or below 6 min?
IQ scores are normally distributed with a mean of 100 and standard devation of 15. find the probability of having an IQ between 136 and 142.

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