The lengths of lumber a machine cuts are normally distributed with a mean of 95 inches and a standard deviation of 0.5 inch.(a) What is the probability that a randomly selected board cut by the machine has a length greater than 95.16 inches?(b) A sample of 38 boards is randomly selected. What is the probability that their mean length is greater than 95.16 inches?.....(a) The probability is(Round to four decimal places as needed.)(b) The probability is(Round to four decimal places as needed.)

Answered: Image /qna-images/answer/3824d83f-9523-4b0c-bf42-1671214e3b92.jpg

Answered: The lengths of lumber a machine cuts…

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 the mean weight of carryion bags has a normal distribution with a mean of 7.4 pounds, with a standard deviation 2.2 pounds. Find the probability that the mean weight of a sample of 25 bookbags will exceed 7 pounds. a. .182 b. .629 c. .572 d. None of the other 4 answers e. .818
An airliner carries 150 passengers and has doors with a height of 78 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d). a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending. ..... The probability is. (Round to four decimal places as needed.) b. If half of the 150 passengers are men, find the probability that the mean height of the 75 men is less than 78 in. The probability is. (Round to four decimal places as needed.) c. When considering the comfort and safety of passengers, which result is more relevant: the probability from part (a) or the probability from part (b)? Why? A. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend. B. The probability from part (b) is more relevant because it shows the proportion of flights where the mean height of the male passengers will…
A. The distribution of results from a cholesterol test has a mean of 180 and a standard deviation of 20. A sample size of 40 is drawn randomly. Find the probability that the sum of the 40 values is less than 6,900. (Round your answer to four decimal places.) B. The distribution of results from a cholesterol test has a mean of 180 and a standard deviation of 20. A sample size of 40 is drawn randomly. Find the sum that is one standard deviation below the mean of the sums. (Round your answer to two decimal places.) C. The distribution of results from a cholesterol test has a mean of 180 and a standard deviation of 20. A sample size of 40 is drawn randomly. Find the sum that is 1.4 standard deviations below the mean of the sums. (Round your answer to two decimal places.)
According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 64 inches and a standard deviation of 2.4 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X- NO b. Find the probability that the person is between 64.4 and 67.3 inches. c. The middle 50% of Martian heights lie between what two numbers? Low: inches inches High:
In basketball, the top free throw shooters usually have a probability of about 0.85 of making any given free throw. Over the course of a season, one such player shoots 500 free throws. a. Find the mean and standard deviation of the probability distribution of the number of free throws he makes. b. By the normal distribution approximation, within what range would the number of free throws made almost certainly fall? Why? c. Within what range would the proportion made be expected to fall? a. Find the mean and standard deviation of the probability distribution of the number of free throws he makes. H = 425 (Type an integer or a decimal.) 6= (Round to three decimal places as needed.) example Get more help. tv Clear all Check answer A 510 1 O C G
3. Women's shoe sizes are (approximately) normally distributed, with an average size of 8.076 and a standard deviation of 1.468. You work at Vogue Magazine, and would like to interview some women about how shoes fit. You take a random sample of 10 women. What is the probability that the 10 women you sampled had an average shoe size that is between a 6 and a 9?
A recent survey reported that 38% of 18- to 29-year-olds in a certain country own tablets. Using the binomial distribution, complete parts (a) through (e) below. a. What is the probability that in the next six 18- to 29-year-olds surveyed, four will own a tablet? The probability is (Type an integer or a decimal. Round to four decimal places as needed.) b. What is the probability that in the next six 18- to 29-year-olds surveyed, all six will own a tablet? The probability is (Type an integer or a decimal. Round to four decimal places as needed.) c. What is the probability that in the next six 18- to 29-year-olds surveyed, at least four will own a tablet? The probability is (Type an integer or a decimal. Round to four decimal places as needed.) d. What are the mean and standard deviation of the number of 18- to 29-year-olds who will own a tablet in a survey of six? The mean number of 18- to 29-year-olds who own tablets out of six surveyed is. (Type an integer or a decimal. Round to four…
An airliner carries 300 passengers and has doors with a height of 78 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d). a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending. The probability is 0.9993. (Round to four decimal places as needed.) b. If half of the 300 passengers are men, find the probability that the mean height of the 150 men is less than 78 in. The probability is (Round to four decimal places as needed.)
According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 64 inches and a standard deviation of 2.4 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( b. Find the probability that the person is between 64.7 and 67.5 inches. c. The middle 30% of Martian heights lie between what two numbers? Low: inches High: inches
The lengths of pregnancies are normally distributed with a mean of 268days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 309 days or longer. b. If the length of pregnancy is in the lowest 2%, then the baby is premature. Find the length that separates premature babies from those who are not premature. a. The probability that a pregnancy will last 309 days or longer is (Round to four decimal places as needed.) b. Babies who are born on or before____days are considered premature. (Round to the nearest integer as needed.)

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