The professor of a introductory calculus class has stated that, historically, the distribution of finalexam grades in the course resemble a Normal distribution with a mean final exam mark ofu = 64% and a standard deviation of a = 10%.If using/finding z-values, use three decimals.(a) What is the probability that a random chosen final exam mark in this course will be at least 72%?Answer to four decimals.0.2119(b) In order to pass this course, a student must have a final exam mark of at least 50%. Whatproportion of students will not pass the calculus final exam? Use four decimals in your answer.0.0808(c) The top 3% of students writing the final exam will receive a letter grade of at least an A in thecourse. To two decimal places, find the minimum final exam mark needed on the calculus final toearn a letter grade of at least an A in the course.82.81田 %(d) Suppose this professor randomly picked 29 final exams, observing the earned mark on each.What is the probability that 6 of these have a final exam grade of less than 50%? Use four decimalsin your answer.0.0443

As per our guidelines we are supposed to answer only 3 sub-parts (if there are multiple sub-parts…

Answered: The professor of a introductory…

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

A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1538 and the standard deviation was 314. The test scores of four students selected at random are 1970, 1280, 2260, and 1430. Find the z-scores that correspond to each value and determine whether any of the values are unusual. .... The z-score for 1970 is (Round to two decimal places as needed.) The z-score for 1280 is (Round to two decimal places as needed.) The z-score for 2260 is (Round to two decimal places as needed.) The z-score for 1430 is. (Round to two decimal places as needed.) Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The unusual value(s) is/are (Use a comma to separate answers as needed.) O B. None of the values are unusual.
A student's commute to school is normally distributed with a mean of 29 min and a standard deviation of 4 min. What is the probability that the student gets to school in 21 to 29 min? (Round your answer to one decimal place.)
The mean total cholesterol for a population of men between the ages of 20 and 29 is 180 micrograms per decilitre with a standard deviation of 37.4. A healthy total cholesterol level is less than 200, 200-240 is border line, and above 240 is dangerous. Assume the distribution is approximately Normal. For a randomly selected man from this group, what is the probability that his total cholesterol level is i. 200 or more? 1i. Between 200 and 240?
The distribution of raw scores on a chemistry final is approximately normal with a mean of about 60 and a standard deviation of about 15. What is the probability that a student will have a raw score that is more than 50?
Suppose the weights of 3-month-old babies are normally distributed—baby boys with a mean of 14.3 pounds and a standard deviation of 1.7, and baby girls with a mean of 12.7 pounds and a standard deviation of 1.7. What proportion of 3-month-old baby girls will weigh between 12 and 13 pounds? (Round your answer to four decimal places.)
The college students’ GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What is the GPA of the highest 2.4% of the students? * 0/2
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.7 days and a standard deviation of 2.1 days.What is the 80th percentile for recovery times? (Round your answer to two decimal places.)
The test score of a physics class with 160 students is distributed normally with a mean of 75 and standard deviation of 7. what percentage of the class has a test score between 68 and 82 Approximately how many students have a test score between 61 and 89? What is the probability that a student chosen at random has a test score between 54 and 75? Approximately how many students have a test score greater than or equal 96?
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3.7 days and a standard deviation of 2.6 days.What is the z-score for a patient who takes 9 days to recover? (Round your answer to two decimal places.)
The monthly salaries of employees at a company are normally distributed with a mean of $5000 and a standard deviation of $1000. What percentage of employees earn between $4000 and $6000 per month? The weights of apples in a certain orchard follow a normal distribution with a mean of 150 grams and a standard deviation of 20 grams. If a random sample of 25 apples is selected, what is the probability that their average weight is less than 155 grams? The heights of a population of adult females follow a normal distribution with a mean of 65 inches and a standard deviation of 3 inches. If a woman is selected at random from this population, what is the probability that she is shorter than 60 inches?
Assume that a population of thousands of people whose responses were used to develop the anxiety test had scores that were normally distributed with meand of 30 and standard deviation of 10. What proportion of people in this population would have anxiety scored within the following range of scores? between 10-50.
The weight of adult male rhesus monkeys is normally distributed, with a mean of 15 pounds and a standard deviation of 3 pounds. A rhesus monkey is randomly selected. What is the probability that a randomly selected rhesus male monkey weighs between 9 pounds and 24 pounds? (round your answer to 4 decimal places and do not write your answer as a %).

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