**Probability and Statistics Problem Set****Problem Statement:**Let \(X\) be a normal random variable with a mean of 207 units and a standard deviation of 4 units. Answer the following questions, rounding your answers to two decimal places.(a) What is the probability that \(X\) will be less than 199 units, \(P(X < 199)\)?- **Answer:** 0.0228(b) What is the probability that \(X\) will be within 8 units of the mean?- **Answer:** 0.9545(c) The probability is 0.15 that \(X\) will be more than how many units?- **Answer:** 212.4**Note:** You can repeat this problem as needed to ensure comprehension.

We have given that μ=207 , ?= 4 X~N( mu , sigma^2) Z-score =(x-mu)/sigma

Answered: At Let X be a normal random variable…

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

The weights of steers in a herd are distributed normally. The variance is 10,000 and the mean steer weight is 1100⁢lbs. Find the probability that the weight of a randomly selected steer is between 919 and 1180⁢lbs. Round your answer to four decimal places.
Find the probability that x will be less than 30. Round the answer to at least four decimal places. The probability that x will be less than 30 is…
The probability that a randomly selected teenager watched a rented video at least once during a week was 0.69. What is the probability that at least 7 teenagers in a group of 9 watched a rented movie at least once last week? (Round your answer to four decimal places.) P(X ≥ 7) =
Let the random variable x have a normal distribution with a mean value of 70 and a varience of 25. Then find the probability that P (x<80)
Solve the problem. Scores on a test are normally distributed with a mean of 68.2 and a standard deviation of 10.4. Estimate the probability that among 75 randomly selected students, at least 20 of them score greater than 78. 0.0239 O 0.1736 0.0166
The Intelligence Quotient (IQ) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of 20. What is the probability we could select a sample of 80 adults and find the mean of this sample is less than 95? 0.0125 0.9750 0.4875 0.9476
Q4. Researchers developed a "dog IQ test" and find that the population of dogs in the United States has a mean score of µ = 20 on this test with a standard deviation of σ = 2. You decide to test a sample of n = 40 dogs to do some research about whether some breeds are smarter. You decide to first test your own dog (or your closest friend's or family member's, if you don't have one). What is the probability that your dog will score an "dog IQ" greater than 25 (which is the cut-off for "Doggie Genius")?
The following are the probability distributions for the cost of textbooks in the fall semester for two different majors. Each probability represents the chance that the total cost of a student's books will be the given amount. Calculate the absolute difference in the expected cost of textbooks for the fall semester for these two majors. Express your answer rounded to two decimal places. Cost of Textbooks (in dollars) for Business Majors X 431.00 510.00 625.00 X Cost of Textbooks (in dollars) for Chemistry Majors 500.00 601.00 P(X = x) 649.00 0.23 0.56 0.21 P(X = x) 0.18 0.52 0.30
Mean (Average): 76 Population Standard Deviation, σ 19 Total Numbers, N 45 What is the z-score for a grade of 65? What is the probability of randomly choosing a score that is 65 or more?
Summer Wine Sales 1000 2000 3000 4000 5000 0000 7000 Assume that the weekly summer wine sales at the local winery vary with a mean of u 2600 dollars and standard deviation o= 1300 dollars. The student is actually going to attend a wedding at the winery in August, and he is wondering what is the probability that the sales for that week will be more than 2500 dollars. Can he calculate this probability? O Yes O No
You need to solve the second question.
The Intelligence Quotient (IQ) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of 20. What is the probability we could select a sample of 20 adults and find the mean of this sample is less than 95? 0.1314 0.7372 0.3686 0.7098

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