---**Probability Problem: Continuous Uniform Distribution**The lengths of a professor's classes have a continuous uniform distribution between 50.0 minutes and 52.0 minutes. If one such class is randomly selected, find the probability that the class length is between 51.5 minutes and 51.9 minutes.\[ P(51.5 < X < 51.9) = \][Next Question]---**Explanation:**In this problem, the class lengths follow a continuous uniform distribution over the interval [50.0, 52.0] minutes. The objective is to determine the probability that a randomly selected class will last between 51.5 and 51.9 minutes.This problem involves understanding key concepts in probability theory and continuous uniform distribution. A continuous uniform distribution is characterized by the fact that each value within a specified range is equally likely. To solve for \( P(51.5 < X < 51.9) \), we would typically use the properties of the uniform distribution to assess the probability of the interval of interest.---

Answered: The lengths of a professor's classes…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Question 1 According to a study, the time between taking a pain reliever and getting relief is normally distributed with a mean of 44 minutes and a standard deviation of 10.2 minutes. Let X be the time between taking a pain reliever and getting relief. 1. Describe the probability distribution of X and state its parameters μ and σ: X is Select an answer |(f= Select an answer A 2. Find the probability that the time between taking a pain reliever and getting relief for a randomly selected patient is a. less than 44 minutes. b. between 34 and 46 minutes. c. more than 71 minutes. XFZIB (Round the answer to 4 decimal places) (Round the answer to 4 decimal places) (Round the answer to 4 decimal places)
Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 21 days and a standard deviation of 5 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places where possible. b. If one of the trials is randomly chosen, find the probability that it lasted at least 22 days.
Suppose that the speed at which cars go on the freeway is normally distributed with mean 78 mph and standard deviation 6 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 75 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 81 and 84 mph. d. 74% of all cars travel at least how fast on the freeway? mph.
Suppose that the speed at which cars go on the freeway is normally distributed with mean 66 mph and standard deviation 7 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 63 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 69 and 75 mph. d. 61% of all cars travel at least how fast on the freeway? mph.
Assume that adults have IQ scores that are normally distributed with a mean of 97.5 and a standard deviation of 24.2. Find the probability that a randomly selected adult has an IQ greater than 138.7. (Hint: Draw a graph.)The probability that a randomly selected adult from this group has an IQ greater than 138.7 is.
Student scores on Professor Combs' Stats final exam are normally distributed with a mean of 74 and a standard deviation of 6.5Find the probability of the following:**(use 4 decimal places)**a.) The probability that one student chosen at random scores above an 79. Correctb.) The probability that 20 students chosen at random have a mean score above an 79. c.) The probability that one student chosen at random scores between a 69 and an 79. d.) The probability that 20 students chosen at random have a mean score between a 69 and an 79
None
Today, the waves are crashing onto the beach every 4.6 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.6 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is crash onto the beach exactly 3.7 seconds after the person arrives is P(x 3.7) b. The standard deviation is c. The probability that wave will d. The probability that the e. The probability that it will take longer than 1.22 seconds for the wave to crash onto the beach after the person arrives is wave will crash onto the beach between 0.9 and 3.7 seconds after the person arrives is P(0.9 1.22) = g, 26% of the time a person will wait at least how long before the wave crashes in? seconds. h Find the minimum for the lower quartile. seconds
Suppose we have a population of cars whose average weight is 3000 pounds and whose standard deviation is 400 pounds. Suppose a random sample of 50 cars is to be taken. Find the probability that the sample average will exceed 3070 pounds. Round to three decimal places, for example 0.286
Suppose that the speed at which cars go on the freeway is normally distributed with mean 75 mph and standard deviation 5 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 78 and 81 mph. d. 75% of all cars travel at least how fast on the freeway? mph.
Question 4 As a part of the productivity assessment at a company, the HR manager carried out a survey and found that inclusive of overtime, the amount of time spent at work per week follows a normal distribution with u=35 hours and s? =4 hours. a. Calculate the probability that an employee selected at random will work less than 40 hours. b. Calculate the probability that an employee selected at random will work between 35 and 45 hours.
Question 6 > 92% of the largest colleges and universities (more than 15,000 total enrollments) have some online offerings. Suppose you randomly pick 44 such intitutions, and let X be the number of intítutions that offer distance learning courses. a. What is the distribution of X? X - ? D Please show the following answers to 4 decimal places. b. What is the probability that exactly 37 intitutions in this study offer distance learning courses? c. What is the probability that at least 37 intitutions in this study offer distance learning courses? d. What is the probability that at most 37 intitutions in this study offer distance learning courses? e. What is the probability that between 35 and 42 (including 35 and 42) intitutions in this study offer distance learning courses? Check Answer

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 51.5 and 51.9 min. P(51.5 < X < 51.9) = > Next Question