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, what is the probability that the class length is between 50.5 and 51.9 min? A blackboard.forsythtech.edu/ultra/courses/_27326_1/cl/outline[MAT-152-843AR 2021SP] Statistical Methods IUnit 5 AssignmentsUnit 5 Section 6.1: Uniform DistributThe lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. Ifone such class is randomly selected, find the probability that the class length is between 50.5 and 51.9min.P(50.5 < X < 51.9) =%3DCheck Answer

Given : x~U50.0, 52.0 we have to find, P50.5<X<51.9

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, what is the probability that the class length is between 50.5 and 51.9 min?

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, what is the probability that the class length is between 50.5 and 51.9 min?

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 lengths of a professor's classes has a continuous uniform distribution between 49.29 min and…

A: Let the random variable X is defined as X = lengths of a professor's classes. It is given that X ~…

Q: A statistics professor plans classes so carefully that the lengths of her classes are uniformly…

A: Obtain the probability that a given class period runs between 50.25 and 51.0 minutes. The…

Q: The number of defective parts produced per shift can be modeled using a random variable that has the…

Q: The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0…

Q: Consider a road that has a length of L kilometers and the number of potholes on this road follows…

A: The poisson random variable gives the number of events in an interval. The probability mass function…

Q: The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0…

A: Given information: Let X be the length of processor's classes. Lower(a)=50.0 min. Upper(b)=52.0 min.…

Q: a, If 1 adult female is randomly selected, find the probability that her pulse rate is less than 79…

Q: A statistics professor plans classes so carefully that the lengths of her classes are uniformly…

A: Uniform distribution: A continuous random variable X is said to follow Uniform distribution if the…

Q: According to the attached graph of normal distribution, we can say that the probability of this…

A: Given graph :

Q: In an election, suppose that 55% of voters support a school levy increase. If we poll 176 of these…

A: Given suppose that 55% of voters support a school levy increase If we poll 176 of these voters at…

Q: Assume that the weight loss for the first month of a diet program varies between 4 pounds and 15…

Q: The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0…

A: Let X be the lengths of a professor's classes has a continuous uniform distribution between 50.0 min…

Q: For the last 10 years, a certain school in Visayas has a passing rate of 63.25% for the bar exam. If…

Q: If for a symmetric distribution, the difference of Median and first quartile is less than a…

Q: During business hours, the number of calls passing through a particular cellular rellay system…

Q: A random variable X is best described by a continuous uniform distribution from 25 to 40 inclusive.…

Q: The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0…

A: Given that The length of a proffessor's classes has a continuous uniform distribution between 50.0…

Q: The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0…

A: Given that the lengths of a professor's classes has a continuous uniform distribution between 50.0…

Q: The duration of a professor's class has a continuous uniform distribution between 50.0 minutes and…

A: Let the professor's class duration is X According to the question X follows uniform distribution,…

Q: The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0…

Q: If the population proportion is 0.75, and a simple random sample of size 100 will be taken: a.…

A: Obtain the mean of the sampling distribution. The mean of the sampling distribution is obtained…

Q: The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0…

A: Let us denote X=The lengths of a professor's classes Given that X follows a continuous uniform…

Q: A study reports that 36% of companies in Country A have three or more female board directors.…

A: Given Data population proportion,p = 0.36 sample size n = 100

Q: that 60% of voters support a new tax on fast food. If we poll 216 of these voters at random, the…

A: It is given that population proportion (p) of voters who support a new tax on fast food is 0.60.…

Q: If X has an F distribution with m and n degrees of freedom, argue that 1/X has an F distribution…

A: See the handwritten solution

Q: If ‘λ’ is the mean of Poisson Distribution, the P(0) is given by ___________ a) e − λ b) e λ c) e d)…

A: Solution: Let X be the Poisson random variable. From the given information, X follows Poisson…

Q: Determine whether the distribution is a discrete probability distribution. x P(x) 0 0.21 1 0.28 2…

A: Discrete probability distribution : The probability distribution of a discrete random variable X is…

Q: The number of suits sold per week by a store follows a Poisson distribution with mean 14. Then the…

Q: The number of content changes to a Web site follows a Poisson distribution with a mean of 0.25 per…

A: The mean number of content changes in one day is 0.25.

Q: Suppose x has a distribution with μ = 18 and σ = 10. (a) If a random sample of size n = 37 is drawn,…

A: In this question, it has been given that X follows a distribution with mean 18 and standard…

Q: The time required to complete a telemarketing sales call has a uniform distribution between 5 and 15…

Q: The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0…

Q: The lengths of your statistics class has a continuous uniform distribution between 46 minutes and 60…

A: We have to find out given probabiity for uniform distribution...

Q: A classical example of the Poisson distribution involves the number of deaths caused by horse kicks…

A: Given, No of years n = 20 No of corps = 14 No of deaths = 196

Q: The number of cars arriving at a gas station can be modelled by Poisson distribution with the…

A: Let X be a random variable represents the number of cars arriving at a gas station and X follows the…

Q: The amount of time a student in Justin’s Intro to Statistics course studied for the final exam is…

A: Given that the amount of time a student in Justin’s Intro to Statistics course studied for the final…

Q: The number of defective parts produced per shift can be modeled using a random variable that has the…

Q: According to the attached graph of normal distribution, we can say that the probability of this…

A: Introduction: Consider X as a normally distributed random variable, with mean μ and standard…

Q: The number of homeruns hit during a major league baseball game follows a Poisson distribution with a…

A: Let "X" be the number of home runs hit during a major league baseball game.

Q: The diameter of ball bearings produced in a manufacturing process can be explained using a uniform…

Q: The duration of a professors class has a continuous uniform distribution between 50.0 minutes and…

A: From the provided information, Let X be a random variable which represents the duration of a…

Q: You were told that the amount of time lapsed between consecutive trades on the New York Stock…

A: Let 'X' be the random variable representing the amount of time lapsed between consecutive trades.…

Q: If you know that every 30 minutes, a plane takes off from Jeddah Airport to Riyadh Airport, starting…

A: Given : Plane take off in every 30 minutes. Time interval =6:00 a.m. to 7:30 a.m. x(waiting time).

Q: The lengths of your statistics class has a continuous uniform distribution between 46 minutes and 58…

A: What is the distribution of X? X ~ Uniform(46, 58)

Q: The number of courses (X) that Solano College sociology students are enrolled in this semester is…

A: Given probability function is, X P(X) 2 0.07 3 0.19 4 0.42 5 0.21 6 0.11 Mean: X…

Q: The number of houses sold by an estate agent follows a Poisson distribution, with a mean of 2 per…

A: Given Mean= 2 / week For 4 weeks

Q: The duration of a professor's class has a continuous uniform distribution between 50.0 minutes and…

A: Given: X~U(50.0,52.0 ) a=50.0 b=52.0

Q: The lengths of a professor's classes has a continuous uniform distribution between 49.2 min and 55.5…

Q: he lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0…

A: The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0…

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

A blackboard.forsythtech.edu/ultra/courses/_27326_1/cl/outline
[MAT-152-843AR 2021SP] Statistical Methods I
Unit 5 Assignments
Unit 5 Section 6.1: Uniform Distribut
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 50.5 and 51.9
min.
P(50.5 < X < 51.9) =
%3D
Check Answer

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

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 number of parking tickets issued in a certain city on any given weekday has a Poisson distribution with parameter μ = 50.a. Calculate the approximate probability that between 35 and 70 tickets are given out on a particular day.b. Calculate the approximate probability that the total number of tickets given out during a 5-day week is between 225 and 275.c. Use software to obtain the exact probabilities in (a) and (b) and compare to their approximations.
The supervisor at a covid-19 testing station notices that people arrive at the testing station at an average rate of 9 people per hour. Assuming a Poisson distribution determine the probability that: 1. exactly 5 people arrive in a given hour. 2. at least 2 people arrive in a given 20-minute period.
Workers at Lyman Limited arrive at work at an average rate of 8 workers per hour. Assuming the arrival times follow a Poisson distribution, calculate the probability that a manager will observe: a) exactly 6 workers arriving in a given hour. b) at least 2 workers arriving in a 15-minute period.
A radioactive source is observed during 7 time intervals each of ten seconds in duration. The number of particles emitted during each period is counted. Suppose that the number of particles emitted, say X, during each observed period has a Poisson distribution with parameter 5.0.(That is, particles are emitted at the rate of 0.5 particles per second.)(a) What is the probability that in each of the 7 time intervals, 4 or more particles are emitted?(b) What is the probability that in at least 1 of the 7 time intervals, 4 or more particles areemitted?
The number of errors per 1000 words made by a particular typist has a Poisson distribution with a mean of 2.5.(a) Find the probability that, in a 4000 word script, there will be at least 14 typing errors.(b) Using a suitable approximation, find the probability that there will be more than25 errors in a 10000 word dissertation. DO NOT USE THE EXCEL METHOD!
Let Y1, Y2, ... , Yn be a random sample of size n from a gamma distribution with parameters α = 1and β = 2. Derive the probability distribution of the sample mean Y̅ using moment-generatingfunctions.
(a) Historical data for an exemption paper shows that, on average, each student takes 1.85 at- tempts (with a standard deviation of 1.00) to pass that subject. There are 20 students in a particular class. Approximate the probability that the total number of attempts required for everyone in this class to pass is at least 37. (b) It seems reasonable that the number of attempts taken by a given student to pass a paper follows a zero-truncated Poisson distribution with probability mass function given by x λ p X (x; λ) = λ for x = 1, 2, ... where λ > 0. (e − 1) x! The number of attempts required by each of six students is: 1 1 1 2 2 5. Provide a numerical estimate of λ that is accurate to at least two decimal places.
The number of orders placed on an e-commerce during a time interval of length t follows a Poisson distribution of parameter λt.a) Find the distribution of the number of orders that are missed during a server failure whose length exponentially distributed with paramenter μ.b) Find the distribution of the server failure duration knowing that there have been k attempts to order during it.
When I go swimming, the distance in meters that I can swim before getting cramp in one of my hands isexponentially distributed with parameter 1 = 1/463.5. What is the probability that, on a randomoccasion when I go swimming, I swim at least 458.1 meters without getting hand cramp?Give your solution accurate to 4 decimal places.
For the flow dataset (42-years of annual flow values) described earlier: (a) fit the normal distribution to this data set on a normal probability paper and show computations in a tabular form, (b) fit the log-normal distribution to this data set on a log-normal probability paper and show computations in a tabular form, (c) for both of the fitted distributions, compute the 90% confidence limits for the fitted probability curves and also show computations in a tabular form.In each case as listed above predict the 100-year, 150-year, and 200-year floods and compare results and how comparable are these results? please solve this question becuase i am struggling a lot
A company performs inspection on shipments from suppliers to detect nonconforming products. Assume that a lot contains 1000 items and 1% are nonconforming. What sample size is needed so that the probability of choosing at least one nonconforming item in the sample is at least 0.90? Assume that the binomial approximation to the hypergeometric distribution is adequate.
The distance between large cracks in a road follows a Poisson Process with an average of 3 cracks per kilometer. What is the probability that at most 1/2 kilometer will have to be covered before the next large crack appears? [Note that distance is a continuous variable similar to time]