**Problem 5: Uniform Distribution**Consider a Uniform distribution of \( U(100, 200) \).**B. Find the following Probabilities:****IV.** \( P(X > 125 \mid X < 175) \)**V.** \( P(135 < X < 180) \)In this problem, we are analyzing a dataset that follows a uniform distribution, where the values are evenly distributed between 100 and 200. We are tasked with finding specific probabilities based on this distribution.1. **Conditional Probability (Part IV)**: Here, we are asked to find the probability that \( X \) is greater than 125, given that \( X \) is less than 175.2. **Probability (Part V)**: Here, we need to find the probability that \( X \) lies between 135 and 180.There are no graphs or diagrams associated with this problem statement.

Answered: Image /qna-images/answer/5f93e7b3-bef7-4cb1-94e3-ec4c789f6b20.jpg

Answered: 5. Consider a Uniform distribution of…

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

Suppose that a college determines the following distribution for X=number of courses taken by a full-time student this semester: Value of X: 3 4 5 6 Probability 0.05. 0.25 0.27 a) The probability for X=4 is missing, What is it? b) What is the average number of courses full-time students at this college take this semester? c) What is the standard deviation of the number of courses full-time students at this college take this semester. d) What is P(X>4.7)
Below is a probability distribution for the number of failures in an elementary statistics course. Determine the following probabilities: a. P(X= 2) = b. P(X 2) = e. P(X = 1 or X = 4) = f. P(1 ≤X ≤ 4) = X 0 1 2 3 4 P(X=x) 0.41 0.18? 0.05 0.15 ab ab 12
4. Build the theoretical probability table based on the distribution above. Use the binomial distribution with the theoretical probability and number of trials with each possible value. (To calculate the first value where x = 0, use binomialpdf(n, p, 0), where n and p are your theoretical probability and the number of draws. Do the same thing for x = 1 with binomialpdf(n, p, 1), etc.) x P(x) 0 1 2 3 4 5 6 7 8 9 10
Suppose that the speed at which cars go on the freeway is normally distributed with mean 66 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car.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 62 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 68 and 71 mph. Round to 4 decimal places.
Q P.6: On its way, a car meets 4 traffic lights, and the probability that each of them will be red is 0.5. Let X be a discrete random variable equal to the number of traffic lights that were green when the car arrived. X may take the values of 0, 1, 2, 3, 4. (Assume traffic lights are independent.) What is the probability distribution of X? The probability distribution of X is 3 4 p(x) 0.5 0.25 0.125 0.0625 0.0625 The probability of distribution of X is 3 p(x) 0.5 0.5 0.25 0.125 The probability of distribution of X is 3 4 p(x) 0.5 0.25 0.5 0.25 0.125 The probability distribution of X is 1 3 4 p(x) | 0.5 || 0.5 || 0.5 | 0.5 || 0.5 The probability of distribution of X is 3 4 p(x) || 0.0625 0.0625 0.125 0.25 0.5
14) Xi -2 -1 0 1 Consider the following probability distribution. The variance is A) 1.14 B) 1.29 C) 1.65 D) 1.94 P(X = X₁) 0.2 0.1 0.3 0.4
2A. X is normally distributed with a mean of 8 and standard devaition is of 0.5. Determine P(8.44(less than or equal to)X)
1*

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

5. Consider a Uniform distribution of U(100, 200) B. Find the following Probabilities: IV. P(X> 125 | X < 175) V. P(135 < X < 180)