6. It is known that the diameter of Douglas fir trees is normally distributed with = 50cm and a = 12cm.(a) What is the probability that a randomly selected Douglas fir tree has a diameter greater than73cm?(b) What proportion of Douglas fir trees have diameter between 40 and 55cm?(c) Find the diameter, d, such that 30% of Douglas fir trees have diameters that exceed d.

A continuous random variable X is said to follow Normal distribution with parameters μ and σ2 if its…

Answered: 6. It is known that the diameter 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

25)Find the probability of the indicated result. Use the normal curve approximation to the binomial distribution. On a hospital floor, 60 patients have a disease with a mortality rate of 9.1. Five of them die a) 0.666 b) 0.163 c)0.170 d) 0.155
The thicknesses of glass sheets produced by a certain process are normally distributed with amean of μ =3.50 mm and a standard deviation of σ = 0.15 mm.a) What is the probability that a glass sheet is thicker than 3.75 mm?b) What is the probability that a glass sheet is thinner than 3.30 mm?c) What is the probability that a glass sheet is between 3.25mm and 3.75mm?d) What is the value of c for which there is a 99% probability that a glass sheet has athickness within the interval [3.50 − c, 3.50 + c]?
8) At one college, GPA's have a distribution that is unimodal and symmetric with a mean of 2.6 and a standard deviation of 0.5. Is a GPA of 3.8 more than one standard deviation above the mean? A) Yes B) No
The manager of a grocery store has selected a random sample of 100 customers. The average length of time these 100 customers to check out was 30 minutes. It is known that the mandand deviation of the checkest time is 1 minute With a 90 probability, the sample mean will provide a margin of error of 1645 10 196 1.96
The mean score in the college entrance examination of 50 with a standard deviation of 12. If a sample of size 36 is taken,a) find the mean and standard deviation of the sample mean, x̄.b) what is the probability that x̄ is less than 48.5?c) what is the probability that x̄ is greater than 53?
lengths of human pregnancies are normally distributed with μ = 268 days and σ = 15 days. I. the probability that a human pregnancy lasts between 240 and 289 days? II. determine the length of the pregnancy such that 85% of the population is smaller that is, what is the 85th percentile for length of pregnancies in humans using the population above. III) what percentage of preganancies end at 37 weeks or prior
2) High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.3. A sample of 81 U.S. adults is chosen. a) What is the sampling distribution of ? p° b) Find the probability that the proportion of individuals in the sample who have high blood pressure is between 0.24 and 0.35. c) Find the probability that less than 26% of the people in the sample have high blood pressure. d) Find the probability that more than 28% of the people in the sample have high blood pressure. e) Would it be unusual if more than 31% of the individuals in the sample of 81 had high blood pressure? Explain.
he lengths of adult mates' hands are normally distributed with mean 185 mm and standard eviation is 7.5 mm. Suppose that 47 individuals are randomly chosen. Round all answers to 4 vhere possible. a. What is the distribution of ¤? ¤ ~ N( 185 X) oe oe 1.094 b. For the group of 47, find the probability that the average hand length is less than 184. 0.6357 x G Find the first quartile for the average adult male hand length for this sample size.
A multilayered filter is made of 250 layers of polymer. The thickness of each layer has mean 0.08 micrometer and standard deviation 0.04 micrometer. The probability that a randomly chosen filter is more than 20.2 micrometer thick is (Answer should be given in 4 decimal places as in 0ooox)
1) The diameter of a steel rod has a normal distribution with a mean of 3.41cm and a standard deviation of 0.02. Determine the probability that the diameter is a) more than 3.42 cm. b) less than 3.46 cm. c) between 3.35 cm and 3.46 cm

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