Suppose that the speed at which cars go on the freeway is normally distributed with mean 79 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. a. If one car is randomly chosen, find the probability that it is traveling more than 80 mph. ? Round to 4 decimal places.

Suppose that the speed at which cars go on the freeway is normally distributed with mean 79 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. a. If one car is randomly chosen, find the probability that it is traveling more than 80 mph. ? Round to 4 decimal places.

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: The time per week a student uses a lab. computer is normally distributed, with a mean of 6.2 hours…

Q: 17. Suppose that the amount of time moviegoers wait in line to buy tickets at the box office is…

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

A: We have given that, X be the random variable from standard normal distribution with mean (μ) = 0°C…

Q: The diameter of bolts produced by a certain machine are normally distributed with a mean of 0.30…

Q: SUPPOSE THAT THE VOLUME OF MINERAL WATER IN THE 2-GALLON CONTAINERS A CERTAIN MINERAL WATER STATION…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: A radar unit is used to measure speeds of cars on a motorway. The speeds are normally distributed…

A: Given data,Mean μ=88sd σ=10P(X≥80.8)=?

Q: a. Assume that a similar boat is loaded with 50 passengers, and assume that the weights of people…

A: a. The probability that the boat is overloaded because the 50 passengers have a mean weight grater…

Q: Assuming that the group of students with a grade arithmetic mean of 70 and a standard deviation of…

Q: Assume that the heights of men are normally distributed with a mean of 71.3 inches and a standard…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: The price of a gallon of milk follows a normal distribution with a mean of $3.4 and a standard…

A: Probability: If a random experiment results in n mutually exclusive and equally likely outcomes; out…

Q: Find the indicated probability. An insurance company has determined that the cost of a certain…

A: The cost of the medical procedure follows a normal distribution. Let the cost be denoted by Y. Then,…

Q: Assume that the heights of women are normaly distributed with a mean of 63.6 inches and a standard…

A: Given, Mean = 63.6 Standard deviation = 2.5 Sample size = 100 The objective is to find the…

Q: ) The diameters of bolts produced by a certain machine are normally distribut a mean of 0.30 inches…

A: The provided information is µ=0.30 σ=0.01 n=2…

Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 76 mph and…

Q: A company produces tortillas that are supposed to have an average diameter of 6 inches. Each of the…

A: Given that a company produces tortillas that are supposed to have an average diameter of 6 inches.…

Q: Let XX represent the full height of a certain species of tree. Assume that XX has a normal…

A: Solution: Let X be the full height of certain species of tree has a normal distribution with mean…

Q: Assume that the salaries of elementary school teachers in the United States are normally distributed…

A: Given: μ=32000, σ=3000, n=100 The corresponding z-value needed to be computed is:

Q: Assume that the heights of men are normally distributed with a mean of 67.2 inches and a standard…

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 105 and a…

A: Given that, Mean =105 Standard deviation =15 X follows Normal distribution with mean 105 and…

Q: 2) The mean and standard deviation of the number of mildly strong earthquakes taking place in the…

A: Xbar=D=126, σ=E=57 P(X>F)=P(X>131)= ? Note: This probability calculated from standard normal…

Q: Assume that women’s heights are normally distributed with a mean of 63.6 inches and a standard…

Q: The length of eels (in cm) in a river may be assumed to be normally distributed with a mean of μ=46…

A: We want to find the probability by using standard normal distribution table

Q: Ex: an electronics company manufactures resistors that have a mean resistance of 95 ohms and a…

Q: chickens follow a normal distribution with a mean of ? kg and a standard deviation of ? kg. It is…

A: *Answer:

Q: An airliner carries 350 passengers and has doors with a height of 74 in. Heights of men are normally…

A: (a) Obtain the Z-score for the random variable X equals 74. The Z-score for the random variable X…

Q: Let X represent the full length of a certain species of newt. Assume that X has a normal probability…

A: It is given that, X~N(110.8, 6.22) A sample size n=220 is to be taken. So, by the CLT, you can…

Q: Let x be a normal ramdon variable with a mean =36 and standard deviation = 7.33 find the probability…

A: we have to find the probability that x is at most 30...

Q: Let X represent the full height of a certain species of tree. Assume that X has a normal probability…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: 4. Assume that the life of laptop brand X is normally distributed. It was found that the average…

A: As per company guidelines I solved only first question .thank you Given X~μμ,σAverage μ= 5 year…

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 105 and a…

A: Let X denote the IQ scores of adults. Given that X follows N(mean = 105, SD = 20), then Z = (X -…

Q: The average individual monthly spending in the United States for paging and messaging services is…

A: Suppose a random variable X has mean µ and standard deviation σ. Therefore, the z-score of that…

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

A: Mean = 0 Standard deviation = 1

Q: The duration of gestation in humans has a normal distribution, with an average of approximately 269…

A: Given, Mean μ = 269 Standard deviation σ = 16 Let X be gestation period

Q: A speed camera on Peterson Road records the speed of each passing vehicle. The speeds are pund to be…

Q: Each month, an American household generates an average of 27.5 pounds of newspaper for garbage or…

A: Given information- Population mean, µ = 27.5 pounds Population standard deviation, σ = 3.1 pounds…

Q: The average student loan debt for college graduates is $25,600. Suppose that that distribution is…

Q: The probability that an individual has 20-20 vision is 0.16. In a class of 37 students, what is…

A: As per guideline expert have answer first question only dear student please upload other question…

Q: a. Compute the mean number of accidents per day. H = 1.63 (Type an integer or a decimal. Do not…

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

Q: For a particular elevator, the average weight of a person who enters the elevator is 165.347 pounds…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Let XX represent the full height of a certain species of tree. Assume that XX has a normal…

A: Let X be a random variable that follows a normal distribution with mean μ and variance σ2.Then,…

Q: (c) A research scientist reports that wild cat can live for an average of 20 years in the wild.…

A: Hi! Thank you for the question As per the honor code, We’ll answer the one question since the exact…

Q: The amount of time between taking a pain reliever and getting relief is normally distributed with a…

Q: From long-term observation, it is known that the waiting-time for non-ambulance adult arrivals in a…

A: GivenMean(μ)=120standard deviation(σ)=50sample size(n)=200

Q: The amount of time between taking a pain reliever and getting relief is normally distributed with a…

Q: Assume the random variable x is normally distributed with mean μ=8585 and standard deviation σ=44.…

A: From the question, it is given that x is random variable that follows normal distribution with mean…

Q: The average yearly consumption of water per person in Lebanon is 120 liters with a standard…

A: Given data,μ=120P(X>200)=0.2296σ=?

Q: The average student loan debt for college graduates is $25,650. Suppose that that distribution is…

A: Given: Mean, μ= 25650 Standard deviation, σ= 14350 (b) Probability that college graduates has…

Q: The height of all 3-year-old females is approximately normal with a mean of 38.72 inches and a…

Q: Assume that the heights women are normally distributed with a mean of 63.6 inches and a standard…

Question

Suppose that the speed at which cars go on the freeway is normally distributed with mean 79 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car.

a. If one car is randomly chosen, find the probability that it is traveling more than 80 mph. ? Round to 4 decimal places.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution