Suppose that the test score of a student taking the final of a probability course is a random variable with mean 80.(a) Give an upper bound for the probability that a student's test score will exceed 90.P{score > 90} <(b) Suppose that we know, in addition, that the variance of students' test scores on the final is 30. What can you say about the probability that astudent will score between 70 and 90 (do not use the central limit theorem)?P{70 < score < 90} ?(c) How many students would have to take the final to ensure with a probability of at least 0.95 that the class average would be within 3 of 80 (do notuse the central limit theorem)?n =(d) If you use the central limit theorem in (c), what is your estimate for the number of students needed?п —

Given : Suppose that the test score of a student taking the final of a probability course is a…

Answered: Suppose that the test score of a…

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

For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 510 and a standard deviation of 175. The grading process of this year's exam has just begun. The mean score of the 40 exams graded so far is 530. What is the probability that a sample of 40 exams will have a mean score of 530 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. 0 S
Assume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. If we select a random house what is the probability that it will be at most 1050 square feet?
For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 515 and a standard deviation of 170. The grading process of this year's exam has just begun. The mean score of the 35 exams graded so far is 518. What is the probability that a sample of 35 exams will have a mean score of 518 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
An elevator has a placard stating that the maximum capacity is 1344lb long dash—8 passengers. So, 8 adult male passengers can have a mean weight of up to 1344 divided by 8 equals 168 pounds.1344/8=168 pounds. If the elevator is loaded with 8 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 168lb. (Assume that weights of males are normally distributed with a mean of 171 lb and a standard deviation of 27 lb) Does this elevator appear to be safe? The probability the elevator is overloaded is____
About 71% of all female heart transplant patients will survive for at least 3 years. Eighty female heart transplant patients are randomly selected. What is the probability that the sample proportion surviving for at least 3 years will be pq less than 63%? Assume the sampling distribution of sample proportions is a normal distribution. The mean of the sample proportion is equal to the population proportion and the standard deviation is equal to The probability that the sample proportion surviving for at least 3 years will be less than 63% is (Round to four decimal places as needed.) More Clear All Final Check Help Me Solve This View an Example Get More Help - 4:51 PM 73°F Rain coming 4* 10/4/2021 O Type here to search 10/05/17 EGO PrtSc Insert Delete 口回 F10 F11 F12 F7 F8 F9 F6 Esc F2 F4 F5 F1 F3 & Backspace Num Lock 5 6 2 R T. Y U Home G K L Enter F H. J + |I LEGY P * 00 44 %#3 山

Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 131000 dollars. Assume the standard deviation is 30000 dollars. Suppose you take a simple random sample of 83 graduates.Find the probability that a single randomly selected salary is at least 129000 dollars.P(X > 129000) = Find the probability that a sample of size n=83n=83 is randomly selected with a mean that is at least 129000 dollars.P(M > 129000) = Enter your answers as numbers accurate to 4 decimal place
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 124000 dollars. Assume the standard deviation is 43000 dollars. Suppose you take a simple random sample of 54 graduates. Find the probability that a single randomly selected salary is more than 116000 dollars. P(X > 116000) = Find the probability that a sample of size n = 54 is randomly selected with a mean that is more than 116000 dollars. P(M > 116000) = Enter your answers as numbers accurate to 4 decimal places. Question Help: Video Submit Question 0 a $ h hp
Suppose a college admissions test is normally distributed with a mean of 500 and a standard deviation of 100. If a student scores in the 75th percentile, what is their test score? If the top 10% of test takers are eligible for a scholarship, what is the minimum score needed to qualify for the scholarship? If the test is taken twice by the same student, and the scores are independent, what is the probability that their average score is above 550?
An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you that the printing speed is actually a Normal random variable with a mean of 17.55 ppm and a standard deviation of 3 ppm. Suppose that you draw a random sample of 12 printers. Part i) Using the information about the distribution of the printing speeds given by the manufacturer, find the probability that the mean printing speed of the sample is greater than 18.15 ppm. (Please carry answers to at least six decimal places in intermediate steps. Give your final answer to the nearest three decimal places). Probability (as a proportion) ...
24. Suppose the waiting time for a goal to be scored in World Cup matches is an exponential random variable with mean 10 minutes. (a) What is the probability that more than 20 minutes passes before the first goal in a match is scored? Do not round your answer (so don't use a calculator). I (b) What is the probability that scoring the first goal in a match will be within one standard deviation from the mean waiting time? Do not round your answer (so don't use a calculator).
An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you that the printing speed is actually a Normal random variable with a mean of 17.25 ppm and a standard deviation of 5 ppm. Suppose that you draw a random sample of 14 printers. Part i) Using the information about the distribution of the printing speeds given by the manufacturer, find the probability that the mean printing speed of the sample is greater than 17.45 ppm. (Please carry answers to at least six decimal places in intermediate steps. Give your final answer to the nearest three decimal places). Probability (as a proportion)

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