Q2// A construction zone on a highway has a posted speed limit of 40 miles per hour. The speeds of vehicles passing through this construction zone are normally distributed with a mean of 46 miles per hour and a standard deviation of 4 miles per hour. Find the percentage of vehicles passing through this construction zone that are; a. exceeding the posted speed limit. b. traveling at speeds between 50 and 57 miles per hour. What is the vehicles speed for the highest 17% probability start from?

Q2// A construction zone on a highway has a posted speed limit of 40 miles per hour. The speeds of vehicles passing through this construction zone are normally distributed with a mean of 46 miles per hour and a standard deviation of 4 miles per hour. Find the percentage of vehicles passing through this construction zone that are; a. exceeding the posted speed limit. b. traveling at speeds between 50 and 57 miles per hour. What is the vehicles speed for the highest 17% probability start from?

Name: Q2// A construction zone on a highway has a posted speed limit of 40
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Q2// A construction zone on a highway has a posted speed limit of 40 miles perhour. The speeds of vehicles passing through this construction zone are normallydistributed with a mean of 46 miles per hour and a standard deviation of 4 milesper hour. F

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: he lengths of pregnancies are normally distributed with a mean of 267 days and a standard deviation…

Q: A survey found that women's heights are normally distributed with mean 63.6 in and standard…

A: Given Information: Mean μ=63.6 Standard deviation σ=2.5 A branch of the military requires women's…

Q: The lengths of pregnancies are normally distributed with a mean of 267 days and a standard deviation…

A: Refer Standard normal table/Z-table to find the probability of z=2.80.

Q: Assume that songs the lengths of songs released in 2020 are normally distributed with a mean of 210…

A: (a) Determine the percentage of songs that were less than 150 seconds.…

Q: HEART TRANSPLANT WAITING TIMES: The time spent (in days) waiting for a heart transplant for people…

A: Obtain the standard z-score for the random variable X equals 220. The standard z-score for the…

Q: The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation…

A: Given that, the lengths of pregnancies are normally distributed with a mean of 266 days and a…

Q: Private nonprofit four-year colleges charge, on average, $27,628 per year in tuition and fees. The…

A: Given Private nonprofit four-year colleges charge, on average, $27,628 per year in tuition and fees.…

Q: The weight of football players is normally distributed with a mean of 220 pounds and a standard…

A: Given X is normal Distributed with mean µ = 220.0 and standard deviation σ = 25.0 now will using…

Q: The average age of vehicles registered in the United States is 96 months. Assume the population is…

A: Given that: X is normally Distributed with mean µ = 96.0 and standard deviation σ = 15.0 By using…

Q: The lengths of pregnancies are normally distributed with a mean of 270 days and a standard deviation…

A: Given Data Population Mean,μ = 270 Population Standard Deviation,σ = 15

Q: The breaking distances from a speed of 60 mph to a complete stop on dry pavement are normally…

A: From the given information,Let the x be a random variable that represent the breaking distance which…

Q: The annual per capita consumption of bottled water was 33.6 gallons. Assume that the per capita…

Q: The lengths of pregnancies are normally distributed with a mean of 266days and a standard deviation…

Q: The lengths of pregnancies are normally distributed with a mean of 266 days and a standard…

Q: The annual per capita consumption of bottled water was 30.5 gallons. Assume that the per capita…

A: We have given that. X~N( μ , ?^2 ) μ =30.5 , ? =13 Z-score =( x - μ )/? NOTE:- According to…

Q: In a random sample of 50 adults, the mean body mass index (BMI) was 27.7 and the standard deviation…

Q: Indicate (without computation) which sample in each set has the higher standard deviation. Sample…

A: Two sample of values are given.

Q: The lengths of pregnancies are normally distributed with a mean of 267 days and a standard deviation…

A: Given information: Let X be the lengths of pregnancies. X~Nμ=267, σ=15

Q: The lengths of pregnancies are normally distributed with a mean of 269 days and a standard deviation…

A: The problem presented involves a normal distribution of pregnancy lengths with a mean of 269 days…

Q: Llamas are excellent pack animals. It is known that the weight of supplies carried by llamas follows…

A: The standard normal z score formula is defined as shown below Where, x = random value…

Q: a. Find the probability of a pregnancy lasting 308 days or longer. b. If the length of pregnancy is…

A: Given Data Population Mean,μ = 269 Population Standard Deviation,σ = 15

Q: sheet metal manufacturer is making 10-gauge eet metal, which is supposed to be 3.416 mm ick. One of…

A: Solution: Given information: n= 100 Sample size μ=3.416 mm Population mean

Q: The percent fo Coloradans that own a Subaru is 56%. If you were to take a random sample of size 70,…

A: We have given that, Let X be the random variable from binomial distribution with probability (p) =…

Q: The lengths of pregnancies are normally distributed with a mean of 267 days and a standard deviation…

A: Given,mean(μ)=267standard deviation(σ)=15

Q: The lengths of pregnancies are normally distributed with a mean of 270 days and a standard deviation…

A: a) Normal distribution , μ = 270 , σ = 15 (given) Let x be the number of days of pregnancy for…

Q: The annual per capita consumption of bottled water was 33.5 gallons. Assume that the per capita…

A: "Since you have posted a question with multiple subparts we will provide solutions only to the first…

Q: The lengths of pregnancies are normally distributed with a mean of 270 days and a standard deviation…

A: Pregnancy Length AnalysisGiven:Pregnancy lengths are normally distributed with a mean (μ) of 270…

Q: 国 The annual per capita consumption of bottled water was 30.5 gallons. Assume that the per capita…

A: Given Data : Population Mean,μ = 30.5 Population Standard Deviation,σ = 13

Q: The lengths of pregnancies are normally distributed with a mean of 269 days and a standard deviation…

Topic Video

Question

Q2// A construction zone on a highway has a posted speed limit of 40 miles per
hour. The speeds of vehicles passing through this construction zone are normally
distributed with a mean of 46 miles per hour and a standard deviation of 4 miles
per hour. Find the percentage of vehicles passing through this construction zone
that are;
a. exceeding the posted speed limit.
b. traveling at speeds between 50 and 57 miles per hour.
What is the vehicles speed for the highest 17% probability start from?

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

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

The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting307days or longer. b. If the length of pregnancy is in the lowest33%,then the baby is premature. Find the length that separates premature babies from those who are not premature
The lengths of pregnancies are normally distributed with a mean of 267 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 309 days longer. b. If the length of pregnancy is in the lowest 2%then the baby is premature. Find the length that separates premature babies from those who are not Premature
Just do subpart "b"
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.65.6 days and a standard deviation of 2.12.1 days. What is the probability of spending more than two days in recovery? A.) 0.9568 B.) 0.0432 C.) 0.8922 D.) 0.0401
uppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 269 feet and a standard deviation of 43 feet. Let X be the distance in feet for a fly ball.b. Find the probability that a randomly hit fly ball travels less than 307 feet. Round to 4 decimal places. c. Find the 90th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet
Boston, Massachusetts, averages 211.7 sunny days per year. Assume that the number of sunny days follows a normal distribution with a standard deviation of 20 days. 20 What is the probability that Boston has less than 200 sunny days in a given year? a 0.2394 b 0.2520 c 0.2653 d 0.2793
The lengths of pregnancies are normally distributed with a mean of 269 days and a standard deviation of 15 days. a. In a letter to an advice column, a wife claimed to have given birth 308 days after a brief visit from her husband, who was working in another country. Find the probability of a pregnancy lasting 308 days or longer. What does the result suggest? b. If the length of pregnancy is in the lowest 2%, then the baby is premature. Find the length that separates premature babies from those who are not considered premature. a. The probability that a pregnancy will last 308 days or longer is enter your response here. (Round to four decimal places as needed.) What does the result suggest? A. The result suggests an uncommon but not significant event occurred. B. The result suggests that either a very rare event occurred or the husband is not the father. C. The result suggests the event did not occur. D. The result suggests that the husband is the…
The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15days. a. Find the probability of a pregnancy lasting 309 days or longer. b. If the length of pregnancy is in the lowest 3%,then the baby is premature. Find the length that separates premature babies from those who are not premature.