3Let X represent the full height of a certain species of tree. Assume that X has a normal distribution with amean of 136.8 ft and a standard deviation of 8.1 ft.A tree of this type grows in my backyard, and it stands 141.7 feet tall. Find the probability that the heightof a randomly selected tree is as tall as mine or shorter.My neighbor also has a tree of this type growing in her backyard, but hers stands 149.8 feet tall. Find theprobability that the full height of a randomly selected tree is at least as tall as hers.Enter your answers as decimals accurate to 4 decimal places.Submit Question3.0EDFFB$470Fin de%FSSTGMacBook AirY&7H***8UUIJF9K

Answered: tree. Assume that has a normal…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Two normal distributions are compared. One has a mean of 10 and a standard deviation of 10. The second normal distribution has a mean of 10 and a standard deviation of 2. Which of the following is true? The dispersions of the distributions are different. The dispersions of the distributions are the same. The distributions are from two different families of distributions. The locations of the distributions are different.
Find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The prices of photo printers on a website are normally distributed with a mean of $238 and a standard deviation of $67. Random samples of size 33 are drawn from this population and the mean of each sample is determined.
An engineer working for a manufacturer of electronic components takes a large number of measurements of a particular dimension of components from the production line. She finds that the distribution of dimensions is normal, with a mean of 2.340 cm and a standard deviation of 0.056 cm. a.) What percentage of measurements will be greater than 2.45 cm.? b.) What percentage of dimensions will be between 2.25 cm. and 2.45 cm.? c.) What value of the dimension will not be exceeded by 98% of the components?
find the standard deviation for: 25% of students who took an examination scored more than 73 in an examination. if the mean examination score is 63. the length of a fully grown plant has a mean of 35cm. 5% of these plants are longer than 45 cm Show all workings.
A particular fruits’ weights are normally distributed, with a mean of 312 grams, and a SD of 20 grams. If you pick 6 fruits at random, then 16% of the time, their mean weight will be greater than how many grams? (Give the answer to the nearest gram)
Please help with homework problem.
In anticipation of an upcoming election, officials in Rising Falls County are looking at the distance from each voter's home to that voter's nearest polling station. Assume that the population of all such distances for voters in Rising Falls County is approximately normally distributed. An article for the newspaper Politically Sound claimed that the mean of this population is 5.15 km. You want to test this claim, so you select a random sample of 23 Rising Falls County voters, and for each you record the distance the voter lives from their nearest polling station. Follow the steps below to construct a 90% confidence interval for the population mean of all the distances voters in Rising Falls County live from their nearest polling station. Then state whether the confidence interval you construct contradicts the reporter's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Take Sample Sample size: П Point estimate: 0…
A normal distribution has a Mean of 25 and a S.D. of 10. Find the probability that the deviation from the Mean of an item taken at random will have a negative value.
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the test was 494 and the standard deviation was 72. If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score? Assume that the scores are normally distributed. Round to the nearest whole number.
1) The speed of 100 cars was measured on a road with a speed limit of 90 km/h. The data was found to be approximately normal with a mean of 88 km/ h and standard deviation of 1.0km/h. a) How many cars were driving at a speed between 87km/h and 89km/h? b) How many vehicles were fined between 90km/h and 91km/h for exceeding the speed limit?
/

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