Suppose that the speed at which cars go on the freeway is normally distributed with mean 70 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N b. If one car is randomly chosen, find the probability that it is traveling more than 71 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 69 and 73 mph. d. 75% of all cars travel at least how fast on the freeway?

Let X be the speed for a randomly selected car and it follows normal distribution with mean of 70…

Answered: Suppose that the speed at which cars go on the freeway is normally distributed with mean 70 mph and standard deviation 8 miles per hour. Let X be the speed for…

MATLAB: An Introduction with Applications

6th Edition

ISBN: 9781119256830

Author: Amos Gilat

Publisher: John Wiley & Sons Inc

See similar textbooks

Related questions

Q: 1. Calculate the z-score for Baldy's wingspan. 2. Calculate the z-score for Alby's wingspan. 3.…

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

Q: Use the following information According to a recent survey, high school students average 100 text…

A: As per our guidelines we are suppose to answer only one question. Given,mean(μ)=100standard…

Q: Private nonprofit four-year colleges charge, on average, $27,845 per year in tuition and fees. The…

A: Given mean= 27845 Standard deviation = 6534 So, variance= 65342=42693156 Answer(a):…

Q: The mean amount of time it takes a kidney stone to pass is 15 days and the standard deviation is 6…

A: It is given that the mean and the standard deviation are 15 and 6, respectively.

Q: The average American gets a haircut every 39 days. Do college students get their hair cut less…

A: A hypothesis test is a statistical method that uses sample data to evaluate a hypothesis about a…

Q: Q4. Suppose a poll of 15 voters is taken in a large city. The purpose is to determine x, the number…

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted....…

Q: Before the furniture store began its ad campaign, it averaged 182 customers per day. The manager is…

A: (a) Determine the type of study. The type of study used t-test for a population mean. (b)…

Q: Set A has a standard deviation of 2 and Set B has a standard deviation of 5. Which statement is…

A: Solve the following

Q: The number of ants per acre in the forest is normally distributed with mean 42,000 and standard…

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

Q: A bus comes by every 7 minutes. The times from when a person arives at the busstop until the bus…

A: The mean would be midpoint between the ends. μ = (0 + 7 )/2 = 3.5 minutes

Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 76…

A: From the provided information, Mean (µ) = 76 Standard deviation (σ) = 18

Q: hts per a 12,370. Let X = number o places where possible.

A: Here it is given that X denotes the no of ants in a randomly selected acre of a forest. Mean (μ) =…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 200lbs. and the…

A: Let "X" be the weight of steers in a herd.

Q: e. The probability that the number will be larger than 29 is P(x > 29) = f. P(x > 11 | x < 14) -| g.…

Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 66…

A: Given : X~Nμ=66,σ=17

Q: The percent of fat calories that a person in America consumes each day is normally distributed with…

Q: The following table shows the number of people that have either 0, 1, 2 or 3 cars registered in…

A: The provided information is as follows:The total number of samples is .The data is given as…

Q: Use the data in the following table, which lists drive-thru order accuracy at popular fast food…

Q: The average THC content of marijuana sold on the street is 10.8%. Suppose the THC content is…

A: Given, mean= 10.8 Standard deviation= 1 So, variance= 12=1 So, X~N(mean,variance)= N(10.8,1)…

Q: Please show all diagrams and work. Circle your answers. 1. The average weight of an NFL player is…

Q: The amount of syrup that people put on their pancakes is normally distributed with mean 62 mL and…

A: Given, μ = 62σ = 12n = 50 X ~ N (62, 12) To find, b) what is the distribution for x ? c) P (61.9…

Q: 6. The daily temperature in Cairns, Australia in June is normally distributed with a mean of 22.5°C…

A: Given Data: Let X be the random variable of daily temperature in Cairns X~ Normal (22.5, 4) a)

Q: The average number of cavities that thirty-year-old Americans have had in their lifetimes is 7. Do…

A: Given data is 4,8,5,7,7,4,8,5,4,4,6sample size(n)=11

Q: Examine the image below and then answer all parts of the question under it. Enter your answers as…

A: a) There are 4 yellow objects in 10 objects.So, P(yellow)=410=0.4b) There are 3 hearts in the 10…

Q: The average American gets a haircut every 44 days. We want to know if the average is larger for…

A: We have to identify null and alternative hypothesis.

Q: The distances golf balls travel under laboratory testing conditions are normally distributed. The…

Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 67…

A: Given data: Mean = 67 Standard deviation = 15

Q: The Mean for a Binomial Distribution is A. p В. q С. пр D. npq

A: X ~ B (n, p) P(X=x) = Cxn px(1-p)n-x ; x=0,1....n 0≤p≤1 , q=1-p n -…

Q: The proportion of a in the tail of a gold distribution can be never be more than .50 true or false

A: We have to find given statement is true or false

Q: The weights of men in a certain region are normally distributed with a mean of 192 lbs., and a…

A: Given: Let μ denote the population mean of weights of men in a certain region (μ=192 lbs). Let σ…

Q: The amount of pollutants that are found in waterways near large cities is normally distributed with…

A: (a) Determine the distribution of X. The distribution of X is obtained below as follows:

Q: Use the data in the following table, which lists drive-thru order accuracy at popular fast food…

A: The total number of orders that are given are Total order = 326+276+235+140+33+52+40+15 = 1117

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

Suppose that the speed at which cars go on the freeway is normally
distributed with mean 70 mph and standard deviation 8 miles per
hour. Let X be the speed for a randomly selected car. Round all
answers to 4 decimal places where possible.
a. What is the distribution of X? X - N
b. If one car is randomly chosen, find the probability that it is
traveling more than 71 mph.
c. If one of the cars is randomly chosen, find the probability that it
is traveling between 69 and 73 mph.
d. 75% of all cars travel at least how fast on the freeway?
mph.

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

VIEW

Step 2

VIEW

Step 3

VIEW